Dewey, if you can't flash the whole design, it's still wet on the edges when you make the second print. Might be trouble. If your flash is 16", are you getting a full 16" of useable heat? Your design will have to be 16" square or under... Also, I've printed tens of thousands of bandanas, and they are very thin; I don't see how you can avoid the bleed through. More importantly, I've always used waterbase ink for those, so they're soft. Who would want 2 layers of plastic on their bandanas? I do understand your concern for the technique for the t's, but bandanas are a different animal altogether... Good luck with it my friend.
Steve