My husband used to work for a flight agency on the Navaho reservation, and my mom was a teacher for years on the same reservation.
You can't get a travel position there. It's run by Indian Health Services and they don't contract out. If you do get hired by them though, they provide housing as a part of your wages at an extremely reduced rate. It's really a pretty good deal, the only down side is if you don't 'fit in' due to the extreme remoteness of the area(s).