A couple comments on what I know and what I think is correct.
My coach is similar to yours. My coach has three heating/cooling zones "upstairs" and a 4th heating zone in the basement. Upstairs the zones are living room/kitchen, bathroom, and bedroom. The living room/kitchen has a single-zone thermostat. The bathroom and bedroom operate from a two-zone thermostat located in the bedroom. This two-zone thermostat operates both zones independently by selection - select either zone 2 or zone 3. I have not looked much for a basement thermostat - zone 4. I think it is automatic and likely heats when needed. I suspect the basement heater will operate any time the temperature makes the thermostat call for heat, but I do not know that. Others here - perhaps Mr. Claxton - will know.
Also in the basement there is a two-receptacle wall plug with switches to make the plug live or dead. I have two heat tapes plugged into that receptacle, but I have never had the switches on to power the two heat tapes.
The electric element is turned off and on by a breaker - mine is labeled "hydronic heater" - in the main 110v breaker panel in the bedroom. I think the electric element requires either shore power or the generator on to supply its power. The diesel burner has a switch over the kitchen sink, facing forward, with the engine pre-heat switch towards the window and the zone 1 thermostat and one of three Aladdin joysticks towards the center of the room. I think the diesel burner and other Aqua Hot functions will operate without shore power or the generator on.
If you have the heat tapes in your coach's basement, then you could operate them using a 110v cord from a wall receptacle in your barn. In my case, I had a line ran from my house's main breaker panel for plugging in my coach. The receptacle I had installed has 50a, 30a, and 20a plug-ins. This way I have power at the far exterior corner of my garage for any electrical device - blower, trouble light,... up to powering my coach on 50a, if needed.