You’ll need a week to even scratch the surface in Moab; Arches, Canyonlands, and a dozen other lesser known attractions such as Corona Arch and Fisher Towers…
Not on the map but Lake Tahoe is worth the trek
Zion national park is a bit out of the way for you, but it was my favorite NP in Utah by far when we visited.
Go a little bit further south in Utah and hit Zion and Bryce national parks
Burney Falls SP is worth the short walk to the bottom and back.
299 between Redding and Burney will suck with a trailer/RV. Not as bad as between Redding and Arcata though.
Source: Your recommended POIs along my route for hikes: SF to CO
