This sounds like it is likely to be a 12 volt DC problem.
what we expect on the furnace is that when we turn the thermostat up above room temp. the contacts on the thermostat close and send power to the furnace where the blower should start right away.
So one place to start is at the 12Volt DC breakers. This is NOT the breakers for 110 AC but it may beunder the same cover, just beside the 110, etc.
Co you know where that 12VDC panel is?
It will likely be where breakers for inside lights, vents, and those items are located.
I'm getting some conflict in what the drawings show to expect and what the owners manual seems to show, so you will have to do some looking to see if one or the other is right!
I would suggest starting at the breaker or fuse panel to check the breaker for the furnace.
The owners manual shows it on page 6-6 as this:
Click these snips to get a better view.
If you know where your converter or "load center" is, there may be a cover to flip down to find the DC fuses at right and one may be labeled furnace??
OR?
The drawings for 12VDC show it being a breaker.
These drawings are as viewed from the REAR, so we have to turn it around to locate the correct breaker. The correct one shows as first at right on bottom row but turned around to view from front, that will be first from LEFT on bottom row!
If you can find one or the other check the fuse is good or if a breaker, try flipping it fully off and then back fully on. They sometimes don't trip all the way and may hide if we only look at them!
See what that does, maybe?
Meanwhile do you have a users manual in a bgig case of info that should have been with the RV? We may need to check the power getting to the furnace itself.