We used to go camping there all of the time when I was a kid.
This spot is great when there aren't a million ATV's screaming around. It is easily accessable from the highway, and was easy enough to get a bambi into and turned around in. It is also right on two creeks.
You can also try heading around the hill to the back side of the creek to
this one. I've never camped there, but it looked easy enough to get a trailer into and the road is not to hard to get into. The are also some spots at the north end of the complex near some old barracks foundations that should allow you to cozy into a spot right next to the creek. Not sure how much snow (if any) remains.
Have fun! I love Camp Hale!