I just spoke to the man from this campsite and he's confirmed there are spaces.
I also found it on a map, so now we know where we're going! (It's the one to the west of the town, not the one by the Tor)
"I still find each day too short for all the thoughts I want to think, all the walks I want to take, all the books I want to read, and all the friends I want to see." - John Burroughs