Unfortunately, rush is a pretty superficial process when it comes right down to it, and your "system" is in place because that's what works for the sorority as a whole, and is in the best interest of the group.
But I'm SOOOOO sorry that you're too pretty to be a RhoGam. It must suck to be you.
"Don't hate me because I'm beautiful". Pantene commercial from the 80s featuring Kelly LeBrock