There's lots of great options for your application. Definitely consider the Crossfire II lineup like a 4-16x50. If you're going more long range then something like the Venom 3-15x44 or the Strike Eagle 3-18x44 would be great options as well!
Crossfire II on my Ruger. I have Burris rimfire on my bolt gun, but I think that is no longer produced. This is probably the 4th scope I have had on the Ruger before I was happy. 4X is good for squirrels. 6X or higher is hard to hold steady off hand.