When I asked a related question last year (Cheap solar worth it?
) it came back that I'd need at least 80W of panels to run the fridge and the other parasitic loads if I intended to mount a flat "leave it and forget it" panel. And that was only if I did the mod covered in this thread (Battery gone in 36h, where to start?
) that bypasses a rather power hungry feature built into some of the Dometic fridges.
Never did go solar, so I can't really help there, but if you are going to do that route then there's tons of information on this site about it. However, I can offer an alternative. If you're going to be in Utah, isn't it fairly windy there? If so, maybe a wind turbine could also supplement your needs.
If cost is a factor, here's a guy (Michael Davis Publishing - Mike's World.
) who built his own solar panels, wind turbines and controllers for at lot less then commercial prices, if you're inclined to go that far.
On the other hand, as long as you have Gas, a generator will always be able to provide power. Can't say how many hours you'll have to run it, but you won't be subjected to nature's whims, just noise.
Either way though, best of luck with your choices. Let us know how it goes.