We hunted the Sawtooth near Stanley in 2016 and Salmon zone near Challis this past year. We did hunt down by one of the creeks near the border between the two zones. You don't have to get too far back for the mule deer, we were seeing does every day, but were not smart enough to outsmart the bucks. The Elk seemed to be a little father back in. There were a lot of hunters in that area, but the majority of them stay near the roads.
If I was to go back out there, I would probably go back to that same area, and hike back a few miles from the end of the jeep trails and set up camp. Elevations start around 6k and work up to 9k so lots of up. Oh, and I would have chains. There was lots of mud this past year and the mud was worse then the snow. Seems like they grease the mud out there.