When we arrived there at 1:15-ish, the thermometer on the car was registering 91° and two quick loops around the campground revealed no shade to be found! Not only that, we had zero Verizon phone service. So I made an executive decision...move on. The lady in the office said they would refund my money, so that cinched it.
We had intended on driving the Skyline Drive tomorrow and then stopping at North 340 Campground in Waynesboro, VA on Monday evening. So we simply omitted the Skyline Drive and drove another hour down to North 340.
The wifi is strong and free, there's all kinds of leftover food in the Yeti, and Plan B has turned out to be a most excellent plan!