I'm past climbing, but I hunt in the mountains - I guess this
area has mountains. Valleys of moose at any rate. Never
hunted any sheep or goats, but a lighter rifle in one of the
accurate fast twist 6.5's would be my choice with longer,
heavier 140gr. high BC bullets, A-max, ELD or whatever.
The Nosler 6.5 version comes to mind.
With tougher bullets it would also work well on moose and elk.