Personally, I've had bad luck with Savage in terms of quality. May be poor luck as my dad and friends haven't had the same experiences with their older Savages. There are other inexpensive makers out there. The Marlin XL7 and XS7 have been getting great reviews.
I would also consider a 270. A little more range and would take larger game. I prefer versatility and range not only in yards but range of target selection. A gophers, pronghorn and deer will die with either one.
With all that said, any of the calibers mentioned are can't miss. I would base the selection of cost of rifle and availability and cost of ammo.