Sadly, it's time to close up the TT for the year. I'm planning to leave it parked beside of the garage, which will help shield it from the winter winds. When not used in the summer, I keep it plugged ...
During the season I keep our trailer here at the house, plugged in 24/7 but ONLY because the trailer itself is protected from a variety of incoming source power errors by a Progressive EMS ... if it weren't no way I'd leave it plugged in, as the OP seems to be planning to do over the winter. For winter storage I strip the trailer and bring the battery into my workshop where I can periodically put it on a stand alone charger.