I think it's super fun to raft up and sleep on the boats as they drift. Lots of beaver slapping going on in that section at night.
Stash your camping gear at the Cisco take-out on your way to the put-in. Stop and pick it up after the rapids. Pull over and make dinner somewhere downstream, then pack up, rig flat with the mattresses on top, and sleep while drifting. You will probably have to wake up to push off a sandbar or willow thicket from time to time, but there's nothing to really worry about in there. In the morning, you can pull over and make breakfast/coffee, then finish your trip at Dewey Bridge, Hittle Bottom, or go ahead and run the fun Moab Daily to BLM takeout or Big Sandy. You can even go all the way to the Moab Bridge, or beyond, if you want to.