I spent five days scouting in AZ 12B the week after Labor Day. It was REALLY hot, but I did see sheep moving from first light until sunset. They were all close to water, either springs or the river, and the activity was probably enhanced by the rut (really cool to see)! A typical day for undisturbed sheep (glassing from a high vantage at long distance) seemed roughly like: up to feed an hour or two after 1st light, feed and wander for 2-3 hours then bed down in the shade, a trip to water around 11 or noon then either more feeding or back to bed, up to feed again around 3-4 and up until dark or bed just before. There was some variation of course, but this seemed like the typical program. If I was't seeing them up and about, I could usually find them in the shade of a big boulder or cliff overhang.
That's my limited data for now... will try to report again after more scouting, now that it's starting to cool off!