Not exactly the same situation, but my uncle and aunt in VA live in a "converted" trailer home, which has an addition on the South side and the whole thing has been roofed over and extra insulation added in the attic. A few years ago, my wife and I bought the smallest EPA rated wood stove, it was made by Century and Menards was running a fall special for $250 for the stove. The stove pipe and class A chimney cost more than the stove... I also had to get a ceiling "thimble" to provide the correct clearance to combustibles where we passes through the trailer roof. The flashing takes care of that interface where one intersects the main exterior roof, just the hole has to be cut to allow for 2" Min clearance to combustibles. We installed that stove in 2 days from start to finish.
It has worked out great for my uncle and aunt. They burn about 1 cord per winter and still have their oil furnace as backup. You will have to do as we did, and build a proper floor protector. We welded up an angle iron frame, laid in 2 sheets of cement board, then tiled the top surface to provide both a thermal break and a fireproof surface around the stove, since small embers will fall out every now and then when loading wood. It also spreads the weight of the stove on the floor.
For a travel trailer it is a little hard to imagine where you would put it. Because of the clearance requirements, it ideally needs to go right in the center somewhere where people can walk around it. You need to look at the clearance requirements to single wall, double wall (stove pipe) and the stove itself. In many cases the clearances may be 16". If the people managing the stove are not the brightest, you have to cover all the possibilities or your trailer will be going up in smoke. The question where to stage firewood will be another important point.
