That is really unusual, but about the only thing I can think of is that the furnace fan switch that holds the fan motor on when the burner is off (to cool down the furnace when the thermostat is satisfied) is defective and operating at a low enough temp so that the heat inside the trailer has it activated. This internal klixon switch operates independently of the wall thermostat settings, even the "off".
You say you "cut the thermostat off at the wall". Do you mean actually removed it, or just shut it off with the off switch at the thermostat itself? I suppose there is a possibility that the switch in the thermostat itself is defective, but that would only make the fan come on if it were cool in the trailer, not warm.
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