I recently leased horses for a television production crew filming on BLM near Wickenburg. BLM gave them permission to film and did not ask for a permit due to the low impact and small footprint of the activity. They had a half dozen vehicles, a dozen crew members, us and our animals, drones etc.
When the airing date approaches near, I may post again. Can't mention the show due to an NDA, but it's been on cable for years and seems pretty popular.