I used to stop up on top of the Brooks Range going to Prudoe Bay and watch sheep. There is something so wild and unforgiving about the country they're in that it calls you. I've never hunted them and at this point probally never will.
Up in the Yukon at Kluane (clu-wa-nee) is an observatory with scopes to watch the sheep up on sheep mountain. Beautiful!
On I70 east of Denver, I've seen a good many sheep, I think they are Rocky Mt. Big Horns. And in the canyon between St George, Ut and Nevada state line on I 15 I've seen Desert Big Horns. There is, for me anyway, something about sheep that always attracts me. I dfon't think it's only the country but thats a BIG part of it. Goats don't attract me that way.
I clicked on Mountain Goat / Dall sheep with the intent on Dall Sheep. Though I wouldn't mind getting another goat at all. But I dream of getting a Dall sheep. In some sense the two should be split because for many of us the hunts would be completely different scenarios - ... Mountain Goat can be hunted DIY in the Continental USA, whereas, at least as I understand it, Dall sheep are either Canada or Alaska hunts ... GUIDED and $$,$$$.$$ .... (unless one happens to be a res.).
My dream hunt would be a do it yourself combo moose/caribou hunt in Alaska with some really good friends who can be counted on to help each other carry out big piles of stinking moose meat. Throw in some great fishing here and there and make the mosquitos and no see ums vanish and it would really be heaven.
Close second would be mountain goat, with someone to pack my gear and pack out the critter for me.
Understanding wind currents and thermals in hilly, broken terrain can often be incredibly frustrating. I've found that collecting and storing milkweed seed pods during the late summer has made me a better hunter in the bluff country that I hunt. These little feather like seed dispersers will float on the lightest of air currents and will show you what the wind is not only doing right at you're location but more importantly down range. I like to use the off season to float them...