I had the same problem with black DTFB. Even the new white DTFB seems to peel a lot for me. I would highly recommend FT foam if you can get your hands on it. I still have a small stockpile of the original white DTFB, but I always put a piece of tape on the leading edge to keep it from peeling anyway.
Also, make sure you have a way to ID direction. I've made a few really slender black planes, and they are usually very difficult to tell where they're headed once airborne. That being said, I'd love to see a "black diamond" with either foil or vanta black skin, but the only way to fly it would be via FPV. Of course if it were a real "black jet", it would be covered in carbon nanotubes.