Not uncommon to have a 500 or 600 stride shot between you and the ram or billy of a lifetime. Be prepared for this comment to illicit a spring of the folks who've backpack hunted mountain game once or not at all jump out to say that's not hunting. They haven't been there, it's more and harder hunting than anything and truly fair chase in the wildest sense.
We strive to get clients to 300 and in, however we have had a 500 and 550 yard shot made by clients who were up to it. Dogleg is one of those guys, though he hunted Grizzly here and at much closer range, he knows his stuff and shoots 600+ yards weekly on his own range. He probably would outshoot me at 600 right now if my target was at 300.
To summarize, you don't plan on a 550 yard sheep or goat shot. But if on the last day and in a state of pure exhaustion you see a 12" billy at 589 yards (this is a real scenario that just happened to me and a client in September) it's sure nice to have the rifle, load, and shooter up to the job. Hope for 150 and plan for 500.
The mountains make range grow, and every client I get here from elsewhere thinks things are much closer than they are. All the yardsticks are gone, no trees, and with open air between you and a prominent animal on a slope you'd swear you're looking at 275 yards. And it's 475.