Being "in the woods" does not sound compatible with solar. It does not work under trees.Aside from that a 20 watt panel will keep a small battery like yours charged if it is lightly loaded as you say. You do not need a charge controller for a panel...
The EU2000 will do the job if you can do some load management to avoid having too many heavy-load appliances like microwave and hair dryer on at the same time but it is marginal. I put 1,000 hours on one with no problems until it was stolen while in...
Our fridge has a mode switch that allows locking it in propane mode so it will not switch to electric. We leave it in that mode when running on battery power.I agree with the earlier post about possibly needing to replace your batteries.
The answer to your question is very subjective. If your rig has good grade-climbing power and if narrow, winding mountain roads do not stress you then it can be a spectacular trip that you will enjoy.We did it several years ago in a 30' gasser towin...
I do not wish to become embroiled in the question of whether or not you should, based on other than legal reasons, have one or not but feel it necessary to clarify the legislative issue. Nearly all of the requirements information published by brakin...