wearing bike stuff does help because it's form-fitting. I really feel for you, but i have no good news because so far whenever they've been challenged, authorities are coming to the sides of TSA (like making that 90 year old woman take off her depends!!!!)
your daughter will be fine. She isn't going to see what they are seeing. And if you're lucky you will all just cruise on through there like I did the last time I flew (October, 2010)