Here's a good description of Muley Point. It's actually a flat viewpoint with dispersed camping. There are no designated sites. It is at the top of UT 261 (Moki Dugway)at Hwy 95.
Muley PointI would highly recommend you drive Moki in your tow vehicle to see for yourself if you want to drive it with the trailer.
While there be sure to check out Natural Bridges Nat'l Monument for some excellent unique hiking trails using ladders. You'll also be close to Goosenecks State Park (another open, flat viewpoint area) and Valley of the Gods for a nice drive. Have a good trip!