That .308 is going to be great, man. You mention recoil. Funny thing about recoil. It doesn't really hurt, it's just kind of a jolt. The recoil from a .308 with a well designed stock, like that Stevens of yours, is really nothing to be scared of. In lots of cases I think it's the muzzle blast that really bothers people more than the recoil. Some people complain about recoil when shooting from a bench while sighting in. Just fold up a towel for a shoulder pad and drap it over your shooting shoulder when shooting from the bench. To me recoil is part of the experience of shooting. It really doesn't hurt, especially a .308. Wear hearing protection sometime and you'll swear that your gun kicks less.
I guarantee you that you will never notice the recoil when you shoot a deer or a coyote. Hell, you'll probably not even notice the sound of the gun going off due to the excitement you are going to feel.
It's really going to be fun. Go for it!
George