I recommend trying the 32" putter first. Lots of golfers in a fitting situation try to get a little "perfect" and then when they actually play, their setup is slightly taller and more comfortable than it was in the fitting session. So, since you can only cut "down" and never cut back "up", try the 32" putter first -- you may want the adjustability.
As far as head weight, it really depends on the typical greens you play (Stimp 9?), your body shape and mass (arms and hands especially), and your specific stroke dynamics, as the putter weight overall and in the putter head needs to be tuned to the golfer, his greens, and his stroke. But in general, slightly heavier than usual is what I recommend, mostly because heavier is slower, and slower is almost always what golfers need in their strokes. Something around 340-375 grams is probably pretty good. In terms of swingweight, a shorter putter makes the same putter head mass result in a lighter swingweight (less clubhead awareness). That's not really a big deal in my teaching, as a "nothing changing" feel in the hands is the ideal with a smooth tempo. If you need to feel a little "lag" of the putter head in the forward stroke inside your hands, a lighter swingweight tends to speed up your stroke, while a heavier swingweight keeps you more relaxed. You'll just have to experiment a bit (with lead tape) and see what feels right for you. It's a very subtle feeling of "lag" you should want, if you want any such feeling at all.
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