Jim B.,
If you carefully develop a handload, one can get one-inch groups at 25 yards with a wheelgun. I've had the most experience hunting small game with S&W revolvers with 4 to 6 1/2" barrel lengths. Look for groves of trees (we have a lot of Osage Orange hedge and walnut trees here) where squirrels have been feeding. Then set quiet and wait for them to start barking and moving.
I've used cast 150 to 158 grain SWCs and 148-grain hollowbase wadcutters.
OF COURSE--those bullets are going to land somewhere a long way away if they don't squarely hit wood or dirt. It isn't a good idea in a lot of places.
I've not used a Contender rifle with rounds such loaded for small game. I suspect you could tack on another 25 yds. or more particularly in open areas. I have a Contender rifle with a 24" .25-20 barrel. I have been getting some excellent 50-round groups with the 85-grain Meister cast flat nose bullet. It has the Williams WGRS receiver sight and a 1/16" gold bead front.
I usually carry a revolver such loaded or have the Contender nearby. They are handy. I suspect there would be all sorts of better options, including scopes, if one was setting out solely to hunt small game.