from the standpoint of recoil sensivity, for whatever reason, i vote for a SnW .22 revolver. the older 6 shot models are beautiful little things and can be loaded with .22 shorts. much like shooting an air pistol. .22 shorts are pop can accurate out to a hundred yards.
if an auto loader is desired and money is no object, still sub one grand, seek out a High Standard .22 short International Rapid Fire autoloader. these were made to fire the four second stage at five silhouettes from a distance of 25 meters. turning targets, skidders were counted as a miss. started with the pistol pointed down angle of 45 degrees or more. can easily be seen that recoil was a factor. these have not been produced, to my knowledge, for several decades. however, saw one in Shotgun News last year. $800 or so. hard to believe that i sold mine in 1969 for $100. neat little gun, i just preferred my mdl 41 which won the HS for me.
still would recommend the Smith .22 revolver for your purpose. beautiful little guns and faithful as all getout. many are still around.
saw one refinished in Colt blue once, OMG