As Janss linked, check the Open/Close status prior to any trip for the road section you plan to travel as various things can cause a closure. The paved section is doable in a large RV so long as you're aware that some section may require you to take up the whole width due to turns.
As for the unpaved sections, it's mostly doable but common for RV's (any tall vehicle) heading to Roosevelt Lake from AJ to get up and personal with the rockface from time to time. And if rutted, you're in for a jolting ride. Prior to the fire, it wasn't uncommon to find souvenirs from RVs along the rockface or even articles that were shaken loose from an RV. Also, along some stretches, the cliff side has no room to pull over so those on the rockside are expected to yield to them. That adds to the chances of scrapping the rocks in narrow lanes and turns.
I would say, once passed the towers (Fish and Game) and certainly ADOT, you may want to consider turning around even if the road is open.
1994 Itasca SunDancer 21RB - Chevy G-30 chassis.