Our camper only has a single deep cycle battery, and it will run the furnace through the night. BUT. I'm usually up late and run the generator for tv and such until I go to bed. I make sure all lights are off, and keep the thermostat about 60 on a cold night (we like a pile of blankets anyway). That has worked fine with nights down just below freezing and still start the generator in the morning. But I also have a Honda 1000 in the compartment for emergencies in case the generator doesn't start in the morning.
You could also connect the coach batteries to the engine batteries with a manual disconnect switch so you can start the generator in a pinch.
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