Most conversions were done on the K-Framed Model 19 or Model 14. The advantage of the K-Frame was that the line of the bore was closer to the hand, reducing muzzle flip, and getting off succeeding shots a mite quicker. Also the extra weight of the Python barrel helped dampen recoil. A step further, a big step further, were the big 1" diameter barrels affixed to the K-Frame Smiths.
The very first American Rifleman I received, I believe the June, 1954 issue, featured a lady shooting a Smith .22/32 Target fitted with a Colt barrel, from an Officers Model Match. The J-Frame was better suited to her smaller feminine hand.
And Dave Clements now makes S&W style barrels, with the solid rib, for Ruger Single Action revolvers. the rib mates perfectly with the flat top frame of the Ruger.
Bob Wright