Thanks, I don't know what took me so long to get one!
Sorry, I don't have any experience with the Paiute Trail, but another that would be worth checking out is Skyline Drive: Skyline Drive, Central Eastern Utah | Expedition Utah.
I camp with my dog a lot. I just upgraded from a Rav4 to a 4Runner so I haven't done a ton of off roading yet, but my favorite place in UT is Moab. There are plenty of trails and camping areas not in the NPs - check out the Gemini Bridges trail, it has offshoots to more hardcore trails like...