score:3
There are benches at several places in the park, some in quiet areas a bit away from the shows and attractions, e.g. near a small lake under some trees. These could be nice for a small nap. There might also be some grass available (not sure if you were authorized to step on the grass though).
If you're looking for something more comfy, there are several B&B's around the park, some even within walking distance (10-15 min walk so a few minutes' drive). You can spot them using Google Maps to have a idea of how far they are.