Used to do quite a bit of squirrel hunting with handguns.
For .22's I mostly used an old Ruger Standard model 6" or a Single Six 5.5". My favorite caliber though was .38/.357, using .38 wadcutters - they really put them down with authority.
Always tried for head shots, but if that wasn't available those wadcutters would anchor them real quick with just one body hit.
Anyway, sounds like you got a nice rig, no doubt it'll get the job done!