dphies00's idea about the library is an awesome idea!
something else that came to mind when I read it - why not eat in the Union for lunch, say once every 2 weeks with a bunch of the girls and wear your letters? I think it would be kind of cool to see how great you girls get along, how well your sisterhood bond is, and it's also great for letting people on campus see who you are who might not otherwise know there is actually greek life on campus.