I'm going to come out of lurking for this one.
Please do NOT bring that project with you. There are better ways to make sure that you are remembered by the sororities.
Standing out because you have a stellar personality and were a great conversationalist? Wonderful.
Standing out because you were 'that girl' who handed out a packet about herself to every house? Not so much.
If you are worried about being remembered, think ahead of time about some talking points that you can use. Did you do something really unique this summer? Do you have any interests or talents that might set you apart from the other PNMs?
It's great that you want to "stand out," but YOU should be what they remember, not your cover letter.