I have a 22-250 Savage w/ Nikon Titanium 3.3x10 scope and I absolutely love it. I also have a .243 H&R w/ 44 mag scope, it hits harder but is deffinately not as fun to shoot.
I'd go w/ the 22-250 if you want to vaporize some pests

or do some long range shooting.
As far as cost, the Savage is the best bang for the buck. Get the Accu-trigger, it is an amazing element on a low cost gun
