Mailmanmark: I would opt for a Remington 700 stainless Rifle in caliber 7mm Remington Magnum.
I would handload different bullets for it to use on different game (from Antelope to Bear to Deer to Elk to Caribou to Mt. Goat to Bighorn Sheep to Moose!).
The 7mm Remington Magnum has not failed me so far.
Hold into the wind
VarmintGuy