One of our all-time favorite boondocking spots. There are many forests roads off 188 on the southern shore of Lake Roosevelt where dispersed camping is allowed. Some have spectacular views of the lake but are high up and difficult to get to. We found the most easily accesible dispersed camping off Forest Rd 83 between the national monument and little town of Roosevelt. There are large level sites here right off the forest road. As you go further up the forest road, sites get smaller but more private.
This is all working open range with lots of stock. We woke up many mornings to cattle rooting through our stuff and one morning to a real roundup with cowboys on horses. Amazing. There are lots if Saguaro and jumping Cholla cactus around as well as rattlers and scorpions so be alert.
We stayed nearly three weeks here and will go back. Lots to do around and across the lake.
No amenities but there is a dumpster at the head of FS83. Otherwise nearest towns are Punkin Center to the west and Roosevelt to the east, Globe being the nearest large town about 40 min away.
Note there is also dispersed camping off 88 along the Salt River, also worth taking s look. No cell service along 88, no amenities and roads get much more steep and difficult.