Bung: You could elevate above the sides of the trailer. Lift each end and slide some timber across the trailer. My neighbour has a small trailer that won't take sheet products flat in the bed so he has a frame that sits on top of the sides.
Its a cage trailer so that would be a little hard. Im just wanting to check the space it would need. Otherwise I would have to slide it out the back of the trailer and put something under the end of the out side to hold it up. Ive used a router and a board clamped to the MDF before to cut it off. 25mm MDF is damn heavy and I cant move that on my own out of the trailer.