For small 4 legged predators I always grab a .223. All the power you need for them, light recoil and range if needed. A Ruger Mini-14 used to be cheap but looking up a pic for you I see they aren't anymore, around here you can pick up a used one for around $300 so that might be an option?
http://www.ruger.com/products/mini14RanchRifle/models.html
My weapon of choice has never let me down yet.
Steve
http://www.ruger.com/products/mini14RanchRifle/models.html
My weapon of choice has never let me down yet.
Steve