A durable single-membrane roof can be done with DuPont Hypalon through one of its roofing buyers, in this case Conklin whose Hy-Crown we used on the 4,000-square foot Santa Fe Childrens Museum. Chlorsulfonated polyethylene, 40-mil, ten nylon threads in each direction per square inch.
The Childrens Museum roof has the breadloaf shape formed with sheathed trusses topped with rigid insulation.
Were you after the heat sink with the dirt roof. You could beat the weight with spray foam, the guys with the AB trucks, then coat with whatever they're using.