Back to soldering and bending the barrel with heat, I would try to heat the whole section evenly, both top and bottom to avoid bending the tube. Heat of 500 to 600 degrees will not hurt the barrel in any way, as long as you heat it evenly and slowly. let it cool naturally, too. ( Good Lordy, putting a wet rag on the opposite side will surely change the point of impact. That would make Don Getz wake up in a sweat.)
Tom