Burning LP creates even more condensation.
Our sweat problem was so bad the walls would sweat and drip especially when temps went to single digit....wife was cooking especially where heating water for cooking purposes was required....or a quick shower.
The really bad part was closet walls stayed wet and I had to keep the bedroom mattress pulled away from the walls or it stayed soaked around the edges.
My above reply describes the trailer. I would add it had 12 windows plus the door and was a aluminum framed sidewalls/roof trusses.
Two dehumidifiers cured the sweating walls/wet closets. I made inside storm windows from 1/8" Lexan plus installed mobile home skirting.
A better insulated model with fewer/smaller size windows would have worked better.