I highly suggest using something other than the P-22. The Browning Buckmark as Coleman mentioned in his post above will be more accurate, and if you really want something good look for an old Ruger MKII slabside 6 7/8" barrel (discontinued, replace by the MKIII) or if you want one new you'll have to get the Ruger MKIII which is ok, but has a mag disaconnect, the loaded chamber indicator, and the Ruger warning stamped on the barrel. Besides that, the MKIII's will shoot just as well as the MKII's.
Here's a Ruger MKII w/ the 6 7/8" barrel set up with optics. With good ammo you can headshot coons all night.