Depends. I would be very careful in that any smell of gasoline would be a NO-NO for the operation of the open-flame stove. Otherwise, if no vapors exist, there would be no concern. Your nose knows.
As to the furnace, since there is no open flame, the air intake and exhaust are to/from the outside, so I wouldn't be concerned.
But again, propane is very explosive. Load the trailer atmosphere with propane, start the motorcycle, go BOOM!
You are living on the edge.
Bob
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