For our Dometic in our '06 Monterey, Kerry, there is in the bathroom a cabinet door that covers several breaker and fuse boxes, and the Multiplex junction boxes. One of smaller boxes is for some of the 12volt circuits, and behind its black cover, which has to be pried off, is a refer fuse. In theory it protects certain fridge 12v circuits, such as flame ignition and panel readout. I'm not sure that your fuse is blown since, if I read you correctly, you have LP flame.
However you might search out and check that 12v fuse, as your coach may be different than mine and have a seperate LP ignitor fuse that's intact, and your LCD panel fuse may indeed be blown.
-Joel