I just did BARE at my college (Vassar) and it was legitimately the most amazing theatrical experience I've ever had. It's an incredibly moving show... and SO much fun.
A lot of the people who auditioned for our production used regular non-theatre pop-rock songs. I'm not sure if that's a no-no at your theatre, but I would find out, given the general sound of the show.
And DON'T sing "Mama Who Bore Me." About nine million people used that at our auditions...
Is it a student production or an all-ages production? If it's a student production, have you thought about going for Claire? She doesn't necessarily have to be a belter; she just has to have a strong concept of dynamics (otherwise Warning is the most boring song EVER).
Again, good luck, and I hope you get cast. For all its flaws, it's a fantastic show.
The former lilprima2b... I can't figure out how to get my password emailed to me, so here we go.