On Hwy 191, there really isn't much out there between Chinle and Mexican Water, except a few stray dogs. There is a hotel (a Best Western, I think...?) in Chinle right outside of CdC.
Other than that it's just wind-swept nothingness on the rez. Like Alex mentioned, dispersed camping is not encouraged. It may be possible with a permit from the tribes, which as an out-of-stater, would probably cost you around $50. At least that's what they charge for out of state rez permits near me.
There wasn't too much in Bluff, UT either as I recall...