There is a pit toilet at the campground, but no water.
White Crack is arguably the best camp on the White Rim Trail
. This road is how you get there (and back). The diversion can be worthwhile even if you aren't camping here, though the road can be brutally sandy, so recent rains are helpful.
Leave the White Rim Trail
and ride the obvious, sandy road south about 1.5-miles to its end at a designated campground. Along the way, keep an eye out on your left for gorgeous eroded boulders that look like modern art.
At the end of the road, leave the bikes and hike south. Watch for potholes in the sandstone surface: there is a unique petroglyph in one of them, and a week or two after heavy summer rains there will be lots of cool pothole creatures living out here (tadpole shrimp, brine shrimp, clam shrimp, desert toad tadpoles, etc). Protect these puddles! Don't drink them, bathe in them, walk in them, or let your dog romp in them!
At the edge of the mesa, the world falls away and the views of the Needles and the Maze are astounding. The White Rim sandstone lens is shattered into monumental blocks here. You can step across cracks that go all the way to the bottom.
To the east, there is an old uranium road cutting its way through the cliff (this is the White Crack), and you can follow this track down off the mesa for more exploring in some of the most remote terrain this country still has to offer. Be sure you are very well-prepared for any adventure in this remote, dry, and rugged area! Apparently, there is a rough route down to Stillwater Canyon on the Green River, and there is potentially a viewpoint over the confluence of the Green and Colorado Rivers, if you have days to look for it.