At the age of your coach, it's very possible that your furnace is OK but Mud Daubbers have nested inside it. That will affect the efficiency of the blower mechanism. Your furnace may have an exterior plate about the size of your hand with two pipes through it. If so, you'd need to crawl around inside the coach and pull panels to get the furnace out. If it has a large plate (a little bigger than a license plate) on the outside, with pipes through it, then you have at least some access from outside.
In any event, it's possible your Sail Switch is sticking. Will allow the gas valve to open one time, not the next time.