One of the most famous canyons in the country resides inside the Dine (Navaho) Nation. While administered by the National Park service, it is also the home of several Dine families. You can drive through the roads on the top freely, stop at various viewpoints, take photos, etc. Here are the various views I saw last week while there. The bottom of the canyon is restricted. To go there, you need a permit and a Dine (Navaho) guide. More about that in the next post.
Several families live in the bottom of the canyon, especially during the summer months. You cannot go into the bottom of the canyon without a permit and a Navaho guide.