Sorry I cant relate! I go to the same school as hootie did and greeks have a clear majority of the student government. my fraternity alone has 5 senators (im one of them!)
and there are several other members that are greek. The top two positions, the vp and president/regent are greek. I would say the best idea is what someone posted earlier, go to the alumni. Ive heard stories of how the university wanted to do something but either a wealthy alum or a group of them said "go ahead with the plan, but dont expect a check from us anymore" and that seems to stop whatever action was going to take place.