Looking at the eclipse map, the shadow goes right over Monument Valley which will be saturated with tourists, no doubt. Also goes over Chaco Canyon, which will likely also be a zoo. Shiprock could be an amazing photo op, but unless you have permission from tribal members, you'd have to stay on the road to the NW. The wackiest place will probably be Roswell, NM. I hadn't paid attention to the fact that Roswell will be near the center of totality. 

I'm seriously tempted to go there just for the human zoo of alien watchers that will inevitably descend on the place.