The closest thing to a range gun in a .22 LR J Frame is the Model 63 five inch. It's an 8-shooter, fun, and accurate; just about K Frame level accuracy.

If you want to shoot a LOT of Stingers in a .22 J Frame, I'd not do it in a Model 317 and maybe not even in an old Model 43; get any Model 63 for that.

If you want at least a little recoil and 38 Special-level noise in a J Frame (as well as a fair trail gun) get a .22 Mag Model 651 four inch.

The model 317 is a sweet pocket gun (as opposed to a holster gun) and will handle all the high velocity ammo you can stuff in it. Stingers are Hyper velocity, but of course I'd carry them in a 317 during "just in case" situations.