I agree completely about TT's and probably RV's in general being designed for use while hooked up at a campground. Some thought and planning is required for regular boondocking/off grid use. There are parasitic draws from propane and CO sensors that are always pulling from the battery even though everything else is shut off. And something to consider about an absorption fridge on propane that did not occur to me until reading it here on this forum, even on propane there is a 12V control panel that is always drawing power. I have read that it is around 1 amp, that's 1A x 24hr = 24Ah per day. If you're using a single G24 12V marine battery like is common for OEM, then you've got about 75Ah capacity when fully charged which means you'll shoot for using no more than 37Ah based on the 50% rule of thumb. So just the fridge alone will use all of your available battery in less than 2 days if you are not recharging them somehow. Add incandescent lighting, water pump, and a furnace fan and your battery won't last long at all before it's dead.
I'm all for solar, best upgrade you can make I think! That includes adequate batteries as your electricity reservoir. We have a gen but I've only had to use it a couple times in the past couple years for battery charging. It is more for running the air conditioner occasionally, we usually don't even unload it from the truck for use. I suggest a double battery setup, moderate solar, and pure sine wave inverter for your low to moderate 120V AC power needs. You can always use the tow vehicle with jumper cables to get you out of a critically-low battery jam.