Might be out of the way, but that's kind of the point right?
Southern Utah, too many places to name.
Here is a start, some of my favorite places by the way.
"The Swell is a serious and demanding place. There are no trail signs, established trailheads, campgrounds or reliable water sources (with the exception of Goblin Valley State Park). You are on your own. Rescue and assistance are far away. Bring plenty of water. Do things within your competence."http://canyoneeringusa.com/utah/swell/
"he Escalante is spread out. It often takes an hour or more to drive to your trailhead from the main road. Be sure to plan your travel, and have enough water, food and fuel to avoid emergencies. No water is available outside of town and a few key spots. This is a big, wild place - treat it with respect."http://canyoneeringusa.com/utah/esca/index.htm
Fuggetaboutit. There ain't any. Fill up on gas in Green River or Hanksville, and carry everything you need, including water. The roads are surprisingly good, though some areas experience blowing soft sand from time to time that makes 4WD useful. Severe washboarding sometimes makes the roads unpleasant, and there are sharp rocks in places that are hard on tires, so be sure your spare is pumped up."http://canyoneeringusa.com/utah/roost/