Thanks guys your feedback is confirming what I'm discovering online as well. Basically tribal policy is a crap shoot depending on many factors and varying from tribe to tribe. I'm quickly reaching the conclusion that I will NOT carry a concealed pistol on foot in Navajo tribal lands including Canyon de Chelly National Monument or anywhere else near the Four Corners area.
As to vehicular travel on the rez, basically in various threads the conclusions are all over the place with some people recommending to store firearms in compliance with FOPA (unloaded & inaccessible in trunk) while traversing tribal land and others indicating that traversing tribal reservations while carrying concealed in your personal vehicle on a state maintained highway is acceptable. Note that a lot of the folks saying it's OK to pack in your car on a state maintained highway also recommend against speeding so as to avoid any possibility of LEO interaction.
Several posters also note that Navajo tribal police have been known to confiscate loaded firearms found in personal vehicles, even under the auspices of a concealed carry permit and that the owner must show proof of ownership (sales receipt) to reclaim the firearm at a later date at tribal police headquarters. Major PITA.
I may call the Navajo Nation for clarification but I expect that this will be a lot like calling the IRS for tax advice
There's basically no guarantee that the advice offered by the person answering the phone will be in any way similar to how a Reservation LEO may interpret the law or even how any two Reservation LEO's may interpret the law.
I'm a member of Texas Law Shield which is a member of US Law Shield and will give them a ring for legal consultation prior to setting out.