Ok. So I've done enough reading for tonight. Two things.
1) The smallest diameter 309L I have found is .030". Everyone seems to recommend smaller diameter filler for SS sheet metal. Hopefully .030" is close enough to the right number to not make a difference.
2) I think I can borrow a flaring tool from Autozone. Should I worry about the metal splitting? Or just don't worry about it and weld up whatever splits? I'm trying to imagine just how ugly it would look with welded up splits.