I've hunted this section for a number of years and had some success. There are a few places to go. For middle of the week hunts with few people, there is a public access point Morgan Canyon going to East Canyon. It's called RedRock Canyon (I think). It's steep and thick, but there are good deer in there. I've pulled out some two points and have seen larger deer in there (even during the gun hunt), however on the opener and first few days there are a lot of people here. Get up early and hike in find a spot on a ridge and wait. People will push deer to you. But, it's a climb to get up top. Climb to the tops and glass down into the valleys. You can also hike up the road, or if you have an electric bike you can get up further. There are a few watering holes, find them and you will see deer. Bonus- we've been grouse hunting up there to with good success in the river bottom and Huns up on the ridges.
Monte Cristo - I had good success hunting around the Dry Bread Pond area. The key here is move away from the roads and you will see deer. Moving further up the road, Dairy ridge was been hit and miss. Last two years I was up there, we saw few deer. They had been moving through putting in new fence lines with a large tractor, so that may have been a factor. There are a lot of people over here, but again, hike around get off the road, you'll see more deer. There is good success hunting the watering holes and toughs that are scattered about. I've had people tell me that hunting was good on Dairy that bumps up against Deseret as well I haven't been back that far. Bonus- we always see elk in this area and also good for grouse. Lightening Ridge seemed to have more people on it, we I don't hunt that area much.
Blue Bell Springs. This area is good too. Lots of grouse, and some deer. We hiked out to the spring and kicked up a few deer. Saw a few small bucks here.
Causey Area- There is some public hunting here, I haven't been, but reports I got, was it is hard hunting and hiking.
This is a general help, for places to look at, but get a map and if possible do some scouting. The drive to Dairy Ridge is very pleasant and the road is not to brutal.
Hope this helps.