My guess is that hooked up and driving down the road you would be limited by the amount of propane before the batteries, but that is just my guess. The furnace does not draw that much electricity and I think the alternator would keep up.
The one limiting factor to running furnace with the slides in is that the heat registers will be covered. Some heat will still get in and the basement will stay warm but you will probably be OK. I'd make sure the propane tanks were full because the effeciency will be poor due to no air circulation.
Bill
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