while a propane furnace will drain a battery in a short time, it should last last overnite. my National RV has 2 Trojan Brand 6 volt golf cart batteries
(125 series I think) & can last overnite. if I am hooked-up to electric, I also use 2 ceramic heaters. but remember, your furnace also heats your holding tanks, so if it's really cold it needs to keeps cycling on & off to keep tanks from freezing. made that mistake several years ago in Bozeman, Montana--relied on ceramic heaters too much and took several hours of furnace running to thaw out fresh water tank.