This might be cheating but how about a T/C Encore with a half dozen or so replacement barrels. A 22/250 for coyotes and a 7mm/08 for deer and such and a 45/70 for moose and a 25/06 for sheep and pronghorn and a 20 ga. for birds and bunnies and a .35 whelen just because.

Or a combination gun in 12 ga. and 30/06 over and under.

Robin