A lot depends on where your shooting. The problem with the .22 rimfires is that they richochet (sp?) a lot. If there are houses around it could get a little dicy. I use a .17 WMR. Very accurate, pretty quiet and the bullet explodes when it hits anything. I use it on P Dogs out to about 175 yds pretty regularly. If I need to shoot further, I go to my .220 Ackley Swift. Realistically any of the .22 centerfires will do a great job.
I love my Savage 17HMR fun as heck to shoot, flat, fast and accurate! Range is limited to 150-175yrds depending on the shooter, anything beyond that is centerfire territory in my opinon.