First rule for that unit is to make sure to take the short trip up north to Wyoming Whiskey.
You shouldn't have trouble finding does on public land, get the Onx map on your phone and you'll fill your tags. PM me if you need help, hotel or other advice.
Depending on when you are going, the waterslides are a great way to cool off. Also check out the buffalo herd just north of there, they are usually not to hard to find. Finally, the dino museum is pretty cool (both scientifically speaking and air conditioned).