I kept one of the bigger oil heaters in a 24' TT in Oregon for 2 winters without winterizing. I mostly did it to keep out the moisture but it also kept lines from freezing. If its on all the time some of that heat will transfer through the floor and walls. I located the heater near the bathroom and kept it set with lower voltage switch on and the dial set on 2 most of the time and when it got down below 30 I turned it up to the max setting. All that said I have no idea if this will work for your setup. The one thing I do know is keeping a little heat in there sure keeps them smelling nice and new for years.