Are you certain that the charge line is in and working? Meaning, have you verified with a voltmeter that when Motorhome engine is running, there is 13 volts on the charge line going to your Honda's battery?
I have flat towed a total of 4 different vehicles over last 10 years. Two of them would have a dead battery after just a few hours of towing. I installed a charge line and used such with all of them, and that was always enough to keep the battery fully charged no matter how long we towed. No charger was ever necessary, just a simple 14 gauge wire going from the + terminal of Motorhome battery, over to + terminal of towed vehicle (with an inline fuse or breaker).
Before spending the time and $$ to install a DC charger, I'd make certain the charge line you have running to the Honda actually has power. If it does, then that charge line should be enough to keep your battery charged up, without having to add a charger.