So you are going from 13.7v at the fuse box to 2.5v on an orange/white wire in a drawer to 1.67v at the furnace? that's some serious voltage drop.
If you pull the furnace fuse what else goes dead in the trailer?
When you test 13.7v are you getting that 13.7v on both sides of the fuse? I'm assuming you are testing in the little windows on the back of the fuse while it's plugged into the panel?

can you get behind the fuse panel? On my trailer I can remove a drawer just above the panel and access the wires right behind. If you can get behind the panel is the orange/white wire back there?