Mine is an RM2310. If you manually light
yours and manually change mode from propane to electricity, it likely uses no electricity in propane mode.
I have chased down various refrigerator troubles over the years. Perhaps one or more of my troubles may be yours.
One time I discovered that the baffle (located within the flue) had fallen into the flue. It needs to be suspended from the top of the flue.
While staring into the flue I noticed lots of corrosion that might be falling into the burner as I bounce down the road. I bought a gun cleaning kit at Wal-Mart to get a long-handled brush for cleaning the flue. As was mentioned earlier, cover the burner to keep out the rusty bits that will fall
as you clean.
Another time I had success with inverting the fridge as others have mentioned. Eventually the fridge began to have problems again so I had the cooling unit replaced with a rebuilt one.
Yet another time I discovered that the aluminum washer used with the orifice had become cracked. After replacing the washer the fridge worked better.
And yet another time oily propane odorant was clogging the orifice. Each time I cleaned the orifice (I soaked it in rubbing alcohol) the fridge would work well for a while then cease to cool effectively. The flame looked fine but was actually insufficient. I became quite proficient at orifice R&R, which can be a little tricky because of limited access. Finally someone told me to clean the propane lines and replace the old (old enough to have been recertified) propane tanks, where the odorant can collect over time and get in the lines when the propane level is low. Indeed, when I removed the line feeding the fridge, many drops of honey-like liquid came out. After cleaning the lines and replacing the tanks THAT problem went away.
After years of frustration and problem solving, and with the addition of three fans just inside the upper vent (.2a each, can turn on just one), 4 fans blowing on the interior heat transfer fins (.2a total), and an exterior baffle to channel the hot air directly to the fans, the fridge works fine even with temps in the mid-80s and high humidity. You'll get there, Zach.