My choice is the 7mm-08. Lighter recoil, you'll find excellent ammo in any store and the short action rifles will likely be a touch lighter to carry. You didn't ask, but I'd put that 7mm-08 ammo in a Tikka T3X lite stainless and never worry about if it's going to be accurate or if it's well protected from the weather.
This combination is custom-made for exactly what you stated you need.
