Wadi Musa is packed with hotel options and Wadi Rum with Bedouin camps offering a similar experience, often also including jeep or camel tours. Rum village also has the “rest house,” a small restaurant where you can camp in the back yard with a provided tent (3JD) or your own tent (2JD).
Throughout most of the route, wild camping is the only option. The suggested stages each end at a recommended campsite; these are sometimes close to water and sometimes not. The longest stretch without water is from Humeima to Shakriya, so plan accordingly to carry plenty of water for the day-and-a-half hike, and camp without a water source!
The very isolated landscape has plenty of spots for discreet camping, particularly amid the sandstone mountains from Humeima onward. Wadi Rum and its surroundings are similarly replete with quiet spots. In all cases, the lack of water is the largest challenge to unsupported camping; the trail includes as many water points as possible, but sometimes long distances between refills are still necessary.