Well, IMO, if you're just beginning, the Ruger KMK-678 target model is excellent. It's got a target barrel and Stainless finish.
There are tons of accessories which are both cheap and available - most don't require gunsmith installation.
In this regard the Ruger is an advantage as opposed to smith or browning. I have yet to see accessories available for Browning. I've read some complaints on the Smith model 22s in other forums.
Accuracy wise, they are all similar. So I suggest you get the ruger, install the cool mods as you go along. Then if you feel you're up to it...the Smith Model 41 could be the next purchase. Although I reckon that you would be enjoying the ruger too much, you might opt for the slabside competition model instead.