We stayed at the Red Canyon Campround. No hookups but a excellant dump station and water to fill with. Here is some info.
Red Canyon is located along Scenic Byway 12, just 9 miles from Bryce Canyon. Passing through it is required to get to Bryce Canyon National Park from the west. From the east, stay on Highway 12, past the junction of highways 12 and 63 for 9 miles, to find Red Canyon. As part of Dixie National Forest, rather than a national park or monument, there are no entry fees to drive through or hike in Red Canyon. Dont know if no hookups will work but the weather should be cool at night and very close to Bryce. Nice and quiet and clean. We had no problem getting a site and we here when school was still out. Google it, it is very pretty. I see you have a big rig there. There is a couple of sites that would probably work but it would be tight.