Very very beautiful area, but we had a really hard time finding a spot that wasn't already taken.  Even far away from the movie filming locations (where the crowds were insane!), no matter how remote and tucked away the clearing was that we found on google satellite map, someone was already camping there when we got there. Granted this was on a Saturday in March.  It's possible that it clears out during the week and when the weather isn't so beautiful.

We ended up finding two different spots, both extremely quiet and peaceful. 

Warning about the extremely annoying and prolific gnats! 

Also watch out that there's private land in this area too, so have your BLM and Forest Service layers ready.

Cell service was spotty throughout the area, with mostly very weak or non-existent signal for all 3 carriers.