I'm actually really not picky about a part. I'd kind of like to find something that keeps me open. Last year they asked me to sing my song again different contexts to see how I would do certain parts (example: I sang I won't Mind by Blumenkrantz and they asked me to do it as a ditz). Usually I go in with a focus but given the politics of the program I'd like to keep myself as open as possible.
Also, I was thinking so many people as well my only concern is finding 16 bars in there to really show off.
I almost would recommend "I Remember" from Evening Primrose, but it would be hard to find the sheet music, I reckon... How about "Not Getting Married" from Company?