I had a similar problem last year in January. Spent a night in Kentucky with temps in the 10-20 range. Everything worked. Drove over to Missouri. Pull into the park there and no furnace. Temps going to -5. Tried a LOT of stuff with no results. Next morning decided to head further south hoping for slightly warmer weather. Set up at the next campground and as I walked by the furnace after connecting to shore power, I heard the furnace running!
After that it worked perfectly for the rest of our trip including back up home in early February...
Dealer took a look and also found nothing. My guess, something in the furnace had some moisture build up while in Kentucky. During the drive to Missouri, it froze. On the drive from Missouri into Arkansas, it got jostled and freed up.
Good luck...
__________________
Al
I am starting to think, that I will never be old enough--------to know better.
Tolerance will reach such a level that intelligent people will be banned from thinking so as not to offend the imbeciles. Fyodor Mikhailovich Dostoevsky, Russian Novelist
S.E. Mich. Flagstaff 26FKWS / 2022 F-150 3.5 EcoBoost SCrew Propride