We foolishly thought we might find a dispersed spot at Vedauwoo in mid-July and were disappointed, but not really surprised. We had another pin dropped on our map for the dry camping at Government Gully Rd and headed there in the late afternoon.
The road in is pretty good, our low slung front wheel drive Travato made it easily, although there is a bit of a short, steep hill to climb if you can't find a spot in the lower area.
During our visit, the lower area could probably have supported one or two more rigs, but it would start getting a bit crowded at that point. We headed up the hill and found a great spot overlooking a mountain meadow (and some really cool dispersed camping sites if it hadn't been closed for a reclamation project). There were plenty of rigs up there, including some pretty big travel trailers and fifth wheels, but it was still pretty quiet. We could see the lights of Laramie in the distance out our back door, which was kind of nice.
So a decent campsite if you don't mind neighbors!