"Perfect" spots are tough to find. We have found lots of places to park our 14' enclosed trailer, but we run propane and electric heaters.
I would never consider a wood stove, just my personal feelings.
...and to each his own. I personally can’t stand propane when it’s cold with wet/cold gear and I’m always worried about CO poisoning. I also don’t like the idea of hauling a 14’ trailer 18+ hours on a solo trip.
Now that I think of it, I never saw a single camp of any sort when I was in the Hills.