You are never going to find a song that "works" for all three (or even two). What you want to do is choose a traditional broadway song and just rock the **** out of it. An "I Want" song will be your best bet.
If we're not having fun, then why are we doing it?
These are DISCUSSION boards, not mutual admiration boards. Discussion only occurs when we are willing to hear what others are thinking, regardless of whether it is alignment to our own thoughts.