I was hunting Sunlight Basin in Wyoming, saw more bears than sheep during the first week or so. I'd recommend the rifle only, unless you're doing a horseback hunt, or you are in pretty darn good shape! About 10 years ago, and I was in pretty fair shape, I did a backpack sheep hunt. As much as I love my handguns, it's just too much added weight for a sheep hunt....though it's comforting when trying to sleep at night. Also, I'd go with, at the "very" least, a 7 Rem. mag.! If recoil is not an issue, it's pretty hard to beat a .338 WM. Easily good to 500 yards for your sheep, and likely a better stopping rifle than some of the lesser calibers. I used my "one and only" hunting rifle....my 9 pound .375 AI. It was adequate for the sheep, and I didn't feel a bit overgunned. Once, when going through a couple hundred yards of over head high bushes, visibility measured in feet, while following a game trail.... I was feeling "undergunned"!
Probably the closest I'll ever get to the Alaskan Alder experience. memtb