This Link to Service Manuals might be of help.
The furnace has a way to "prove flame" which means that it feels for heat and shuts down if heat not found. It also looks for air flow which typically is what they call a "sail switch."
Sometimes there's outside access to the furnace, other times not. Ours does not have outside access either.
'Nuff for theory. An easy first step would be see what you can do to make sure the two tubes to the outside of the coach are clear of critter nests. We've seen cases where there was a nest IN the squirrel cage blower inside the furnace. That's going to reduce air flow and shut it down on sail switch.