Nearest services is going to depend a bit on whether or not you are on the north or south end of the unit. It's big, and there's not very good way to get from north to south quickly. To the north, your best bet for services and supplies would be the town of Grantsville. If your in the middle part of the unit, hop over the mountains and the little town of Vernon has a gas station/cafe. Not sure, but I think the town of Delta on the south end has a services as well.
Most of that unit is BLM, so just camp where you please. There are a couple of BLM campgrounds that have pit toilets. The Simpson Springs campground wouldn't be a bad place to stay and there are pronghorns in that vacinity. Spend most of your digital scouting looking for water! To include guzzlers and livestock troughs. Not sure with the BLM or UTDWR gives out the locations to the big game guzzlers or troughs, but the wild horses make them pretty easy to find via google earth...
The only areas I would avoid are the ORV recreation areas. Anything near Little Sahara is going to be a wash with people. There's another, less popular or advertised one on the south end of Skull Valley near a big chunk of state ground, but the name is escaping me at the moment. Also, be aware of boundaries. There are military and reservation boundaries that you need to stay away from. There are some wilderness and/or wilderness study areas in that unit as well.
Lots of country to cover, but the pronghorn are easy to find. With a bit of elevation is possible to see a LONG way in some of those valleys.