It would be worth driving through L.A. traffic to get these three sites on one stretch of road, but on the All-American Highway, the journey is as destination-y as the dozen or so destinations.
National Parks Map & Guide. An essential tool for planning your driving trip.
Bryce Canyon National Park
Canyons of the Escalante [Grand Staircase-Escalante National Monument]
Capitol Reef National Park
San Rafael Swell [BLM - Price Field Office]