Ditto that, with the exception of the Savage MKII.
An older remington bolt action, particularly the 541 or 581, a CZ 452, Savage MKII,or browning T-bolt would be at the top of my list. If it isn't accurate enough to make a head shot on a squirrel every time, I wouldn't use it.
Yep the 541 is an accurate rifle as well and the CZ 452 is another good one. CDNN has them for 279 and I may have to pick up one