You pretty much need to buy or build a standy or a ttt with a lifting roof.
Below is a thread that lists the addresses most of the teardrops and tiny trailers with lifting roofs that have been built and displayed on this forum:
www.tnttt.com/viewtopic.php?f=5&t=50969Not even considering the fact that you can't stand up in a TD, you are supposed to have a 19 inch clearance between a stove burner and the roof for fire safety reasons.
A lot of people put up a shelter around their exterior TD galley, which keeps them warmer and enlarges their living space.