I tried it one year. My wife and I spent the summer going into the area north of Big Sky. Never saw another person in there until we went in a couple of days before season opened. There were people there that had been scouting the whole week before opening day. The place was mobbed! Hunted 4 days and never saw a sheep. Got rained out, and came home disgusted. In retrospect, I shouldn't have expected anything else. Mont is that way for all big game. Never see anyone during the summer, and the mountains are mobbed on opening day. I would also advise against going in later in the season. There's a reason there's a ski area 20 miles south, that usually opens before Thanksgiving.
If you want a backpacking hunt, the best one I was on was with Stan Stevens in the NW Territories. My wife and I and our guide backpacked for 9 days. saw over 125 sheep, pased on quite a few and came home with a nice one. You have to be in shape, and insist on a backpacking trip.
George