From the Cottonwood Narrows, Hackberry Canyon, Paria Box to the Gosvenor Arch – Grand-Staircase Escalante National Monument has a lot to offer for hiking, mountain biking or just exploring. Dispersed camping is permitted in some areas, but a (free) backcountry permit is required. You can get the permit at the entrance roads from small boxes.
To enter the National Monument you should have at least a 4x4 vehicle. Watch for the weather and avoid driving along the backcountry roads in rain.