The loop campground is a great spot to spend the night if you're wanting to explore the Stansbury's from a central location. The main trail leaving the campground is a loop trail for Deseret Peak but you can split off on numerous side trails to follow the range to the north or south. 

The road to the campground is closed from late fall to mid spring so check ahead to see if it's open for the season. The campground is at a pretty good elevation and will be much cooler than the surrounding desert, especially at night so make sure you're prepared appropriately.

I've only ever camped here on a weekend and have never had a problem getting a spot but holiday weekends or mid-summer may be different. I have hiked from the trail head several times mid-week and the campground is usually completely empty so if you're looking for some peace and quiet, try to get here Monday to Thursday.