Running an RV furnace fan without the burner operating is not a great idea, in my opinion. The fan motor (there's only one) has two fans attached to it: one circulates air through the RV on that side of the heat exchanger, and the other circulates combustion air through the other side of the heat exchanger. With the burner not operating, you're basically operating the heat exchanger in reverse: cooling the inside air with a steady stream of cold air from the outside.
An auxiliary circulator fan would be a bit better, in that it doesn't actively cool the burner side of the heat exchanger, but you'd still be losing a good bit of heat through it. Probably more useful would be to add a small auxiliary electric heater for the wet bay and circulate the air through the living space of the RV using either the air conditioner fan or a portable fan.