I have a 2002 Newmar Dutch Star gas MH. While camping the other day with hookups not generator the furnace fan (or blower) came on. No furnace heat and didn't use any lp, however I had to pull the fus...
The fan switch on t-stat would be for the A/C Fan...
Furnace fan only gets power when t-stat calls for 'heat' and then triggers 'blower power' on furnace circuit board (or old timed delay relay at furnace)
Could be a bad t-stat (contacts shorting) or bad furnace circuit board (contacts/connections)