We stayed here last spring for a dirt bike trip. North of Moab on Dalton Well Rd.
https://goo.gl/maps/wcoY1pBZyr32There are plenty of flat area/spots in the area around the dropped pin. You do need to cross a dry sand wash, but the traffic has it packed down really good, 4wd not required. I'd be hesitant only after a recent rain storm since there is a good amount of clay.
It is a little way from town, but to be honest the toy traffic was minimal, it was quiet at night, it was DARK, and nobody for 150+yds the whole time during April.