We were looking for a campsite north of Organ Pipe Cactus National Monument, and we found the Barry M. Goldwater Air Force Range was actually open for public access, as long as you get a permit and follow the rules and regulations. Camping was free, and there was nearly nobody around!
If you are interested in camping and recreating on the Barry Goldwater Military Range start here: https://bmgr.recaccess.com/
First each person visiting over the age of 18 needs to create an account, then they need an annual permit. Once you have your annual permit you need to check in to the area you plan to visit for the days you plan to be there. We were able to check in in advance (the night before). Once checked in we received the gate code. We downloaded the pdf maps available on the website and loaded them into Avenza so that we were sure we were driving and recreating where we were allowed to do so. Access to the Range is free, you just have to jump through the hoops and stay in the open areas. It appeared that one could explore the area for days with few other people out there.