Stick with the 308. I find that you can find ammo for it anywhere which is important to me. Its popular, not that much recoil and basically is a "do anything" type round. If Elk is in your future then for sure the 308.
I have a 308 savage and i will say that the recoil is pretty mild. I also have a 7mm-08 in a different model and the recoil is NASTY.
i would say 7mm-08 would be a good choice too, but from my experience the recoil is almost the same with the 308 having a bit more in size for bigger game.
