You are overly worried about the mass properties of the putter. The length, lie, and non-goofy physics are more important than some supposed benefit from putter head design and mass dynamics.
What you need is a putter pretty close to the natural angle of your forearm when bending slightly forward with the upper torso at address. The upper arms hang vertically, but the forearms do not continue on the line of the upper arms but the muscle tension either side of the elbows make the forearms angle off vertical. If you held an aiming stick in the left hand so the stick aligned with the left forearm when bending forward at address, and then extended the stick out along this line until it met the ground, that is the lie angle you want for simple physics when you make a stroke with the mass of the two arms plus a putter.
Typically, this stick will meet the ground about 8-9 inches out from the end of the golfer's toes. The "lie angle" of this stick will be the same off vertical as the forearms naturally hang out of vertical. If, for example, the forearm hangs out of vertical 14 degrees, the stick will meet the ground leaning back from vertical also the same 14 degrees. Measured up from the ground, as done in goofy golf culture, the "lie" angle will be 90 - 14 = 76 degrees.
Why is this better than the 68 degrees of David Edel's putters? Simple physics: the greater the lie angle diverges from the forearm angle, the more the torque force on the end of the stick tending to drop the putter head inward out of the golfer's stroke plane, no matter what putter head design shape and mass there is. This unnecessary, unhelpful, disrupting torque corrupts whatever stroke motion the golfer uses and therefore places the golfer at the mercy of the ill-conceived physics. That's completely unhelpful.
Even more fundamentally, putter designers typically have zero appreciation of how putter design needs to fit the human. For example, designers across the board are completely unaware of the natural angle of human forearms and what this means for good putter design. That's typical of golf culture. Designers do not know, for example, how much mass is in a typical adult male arm -- about 7.5 pounds! Two arms have nearly 15 pounds of mass, and putters are no more than one tenth of this mass, about 1.5 pounds. This means golfers are not really swinging putters, but are actually swinging two arms across the front of the body holding a putter along for the ride. In physics, unknown to all of these folks selling their weird golf-culture bad-physics putters, the ten-times-more mass of the arms swing left-right across the front of the body with least trouble and complication when the two arms hang neutrally in gravity -- not held up and out in gravity as required by the 68-degree flat lie angle -- too flat and too long to hold as designed without reaching out to the handle, thereby battling against gravity in the setup and of course in the stroke motion also. That's just not smart design.
Arms hanging neutrally are the first order of business for putter designing. Arms that hang neutrally not only avoid fighting gravity but also gain a good ally in the stroke that helps channel the arms back and thru in plane for a good straight stroke, that is especially trouble free when the forward stroke is transiting between the feet. After all, any stroke that is "bad" to the inside or to the outside requires sending the arms "up" out of their neutral hanging in gravity. So gravity "opposes" moving the arms up either to the inside or t the outside of "straight along in the neutral channel."
If you hold you putter's heel up a bit at address, that is not "doing a good thing like Steve Stricker," but is owning a putter that was not designed to help you and using it in a better way any way. Stricker should get a better putter. So should you.
But your concern that using the badly designed putter heel up is going to generate bad physics is particularly illogical. Get a more-upright design or bend the bad design you own. But if you don't do that, the "worry" that the heel-up use in a stroke will inject such troublesome mass dynamics that you shouldn't do it is easily answered by just trying it! Duh. It's a better way to use a too-flat putter than to set a too-flat putter down soled flat to the surface on too-flat a lie angle with arms fighting gravity and too much unnecessary torque from the flat lie angle trying to ruin the stroke by sinking the putter head inward towards the feet in the stroke along trajectories that are different whenever the grip pressure and arm muscle tone differs from stroke to stroke.
Think of it this way: the troublesome physics caused by reaching the arms up and out to accommodate a too-flat putter sitting flat to the surface is much worse than the troublesome physics caused by swinging a too-flat putter slightly heel-up but with the massive arms NOT reaching out of gravity to hold the putter. If you've been suckered into buying a putter that is designed too flat for you (and almost all golfers except weird ones), then using it slightly heel-up is not that harmful and is probably better than using the putter as ignorantly designed.
You can also increase the muscle tone in the arms and hands to overcome the bad physics of lifting the arms up and out to accommodate the too-flat putter design, but that's part of the reason why the design is bad. It's not just "tighter makes it all righter", but it has to be "same tightness exactly throughout the 1.5 second duration of the stroke, or you get bit by the bad physics of unnecessary torque waiting for your muscle tone tolet off in any appreciable degree, and then the stroke gets "dropped" and corrupted."
In fact if you take any poorly designed putter and hover it slightly off the surface and turn it sideways at address, as if to putt the back of a ball down the line with the toe end of the putter, this presentation of the putter will immediately unflatten the lie angle of the shaft so the shaft matches the forearm angle. Making strokes with the putter held this way is a lot better stroke than almost all putters sold today -- the putter aimed toe-first like this swings very true back and forth with minimal grip pressure to manage bad torque influences. If you then turn the putter head back to normal but keep the lie angle and settle the sole back to the ground, you will see that the heel sits up. This is an exact measurement of just how BAD the putter was designed.
Rather illogically, Stan Utley teaches that if you turn your Ping-like putter toe-first and make strokes, that the stroke that results is what you should use when you hold your putter normally. Boy, is that ever confused! What the toe-first stroke shows is what you SHOULD get from a well-designed putter, not from the bad design you are holding! The stroke you get when you return your badly designed putter to the normal position is not at all the same as the toe-first stroke -- it's corrupted by the poor physics! And Stan USED to say that this corrupted stroke path was "natural" and "just like a miniature full swing." No it's not -- it's just bad physics messing up the golfer's motion, and the toe-first stroke shows just how much the golfer is forced to contend with. For heaven's sake, people -- golf is stuck in the dark ages with this stuff.
Here's an image of me setting up with a conventional putter at the usual lie angle of 19 degrees off vertical (so-called 71 degree lie), the off-the-shelf standard according to putter manufacturers who do't know much about human bodies or about the skills of putting for setup and stroke motion. The vertical line cuts thru the shoulder and the balls of the feet. The blue line traces the forearm out of vertical down the conventional shaft angle 19 degrees out of vertical. The steeper green line is where the forearm line hangs naturally about 14 degrees out of vertical, and is the lie of a putter that swings with superior physics with less demands for controlling path and face on the golfer. The pink line is the flattest of the three, and is the Edel lie of 22 degrees out of vertical (68 degrees up from the ground) -- the putter with the worst torque bending the stroke and demanding attentiveness by the golfer to control path and face angle back and thru. If the grip pressure or arm muscle tone relents during the stroke, the stroke path and face angle get corrupted by the unnecessary torque, the hands sink inward, the putter head curves and sinks inward, and the face comes out of square. In the case of the green line, the hands have already sunken to their point of equilibrium before taking hold of the putter, and then the putter has only a modest torque to the arms that is controlled with modest muscle tone -- the golfer would have to have a serious change / lessening of grip pressure or muscle tone in the stroke to dip below all that is required to support the modest torque for the natural forearm angle.
If you want to experience the differences in torque, set any putter down flat on the surface, and then place the hands on the handle and then unbend the upper torso so the arms and hands and putter all lift slightly and the putter comes off the surface. Relax the grip pressure to "as light as a bird" and the putter head will droop inward towards the feet to hang vertically from the hands. Then, with progressively increasing "squeeze" in the left hand, squeeze until the left hand returns the putter head back to its original position flat on the surface, and NOTE the level of muscle tone in the hand required to place the putter head back. (This is the LEAST muscle tone required to be maintained by the golfer to prevent the torque for that putter head and lie angle from corrupting the stroke path and face angle.) Then repeat this and NOTE the level required to move the putter head out 14 degrees, then 19 degrees, then 22 degrees -- paying attention to how much more torque is required to be controlled with the increasingly flat lie angles.
As to cutting down a 35-inch putter, don't bother until you change the lie angle by getting something bent (no crimping of the shaft is allowed in the Rules). First, bend the lie angle more upright, then cut off maybe one inch, not 3-4 inches. Even if you think a 32-inch or 33-inch putter is good for you, keep an extra 2-3 inches above your wrist line for those cases when you might want to bend a bit less. Once cut off, there's no good way to go back, but the extra "reserve" length never bothers anything.
As to losing some mass by cutting off an inch or two, don't worry about it. Golf culture has a made-up thing they call "swingweight" but it has next to nothing real about it for putting unless your stroke has some weird and unhelpful lag changes in your wrist angles in the stroke. Without "lag" there is NO SWINGWEIGHT that gets registered in the "feel of the hands" -- only handles changing angle inside the hands make this feel, and that means thewrists and putter face angle is getting out of hand. You don't want to use a flipping lag action with a putter, so a slight reduction of swingweight is not anything to worry about, since you shouldn't want to "feel" the putter head anyway by wrist breakdown, grip tone changes, and face angle / path changes that need unchanging back to impact.
Instead, the overall mass of the putter needs to satisfy your body and natural tempo and level of violence on the greens you usually play. A neutral grip that stays the same muscle tone is a "dead hands" simple no-angle-changes motion, and has no use for so-called "swingweight". Generally speaking, putter designers have really missed the boat on this overall mass for typical adult male golfers, and have been dragged into better design despite their natural ignorance only recently. A putter head for most adult males should have at least 365 grams of mass and probably up to 390 grams for shorter putters. Putters in the past few years are starting to sport 365-gram putter heads, and then there is that completely worthless Heavy putter design grossly too heavy even for John Daly.
If you cut down a putter that you bought from one of these dumb designers, it will likely have less overall mass than is suited to a typical adult male since it probably didn't have enough mass to start with, so perhaps you can a) add lead tape, or b) add backweighting in the top of the handle, or c) put salt or some sort of powder down inside the shaft. If you add lead tape, it matters where exactly the tape goes, as different placement can corrupt the stroke and require unnecessary muscle tone to control.
Basically, anyone selling putters or doing putter fitting that does not understand good stroke motions and human bodies swinging tools and who does not adhere to the fundamental principle of "good posture and movement of the arms first, then the putter that matches that posture" should be avoided.
Putting Coach and Theorist