I'm not the only "12V expert" on the TMO forum- but here are my recommendations.
#1 It's good to always disconnect the batteries from "TM phantom loads" in Winter or long-term storage, by switching the Circuit Breaker between "Battery +" and the TM DC Load Distribution Center to OFF. (If you still have the OEM fuse, replace it with this:
https://www.ebay.com/itm/30-Amp-In-L...V/251628335785.)
#2, Then hook up the batteries to a really high-quality maintainer, such as this one:
https://www.amazon.com/CTEK-56-864-A.../dp/B006G14FK8. (Battery Tender Plus, at about $15 less, is almost as good (IMO). In the real world, either would be vastly better than your current Solar Controller.
#3 If you don't have access to 120V for the high-quality Charger/Maintainer, then maybe upgrade to a better Solar Controller? Windy has great prices on panel packages, and wires but their Solar Controller kinda sock (IMO). I like the performance characteristics of the EP-Solar "BN" Series (and I've hammered one of them really hard, on purpose). They're MPPT, and tunable. I don't think that Windy's machines limit the current of a nearly full battery (they run according to "Voltage only" measurements and whatever current the battery is willing to take, otherwise limited only by temperature). And they're only PWM. Depending on your panel configuration, the upgrade could be very worthwhile. Remote "MT-50" and battery temp sensor are mandoatory add ons, usuaslly pruchased separately.
DO NOT! Confuse the "BN" series products with any other controllers from "EPEver/EP -Solar" - previous models were much worse, and most of the "EP-EVER" machines models have positive grounding - useless on a Trailmanor. This creates big advantages in the summer, as well as treating your batteries better in the Winter.
#4: Better than #3, if you don't need improved Solar capability on future vacations and you're willing haul stuff around: Bring the batteries home, put them in the garage and connect 'em per recommendation #2.