I don't understand "social" fraternities. They never seem to be good for anything and they most definitely do not create well-socialized people.
There was only one "Greek" organization I ever even considered joining (and did, my last year of college,) and that was the co-ed service organization Alpha Phi Omega.
And really, I joined because I had nothing better to do that night. Also the leader at the time was our D&D GM. Pretty much everybody who joined that year was a gamer, and our activities basically consisted of either raising money / doing stuff for various charities (walking for March of Dimes, building for Habitat for Humanity, etc.), helping out other members who were down on their luck, and sitting around gaming.
There was no hazing, strictly monitored drinking, and a very safe environment in general. (Except we were short on cars, so I spent a lot of time riding around unsecured in a hatchback, which probably wasn't safe at all.)
Additionally, this was the group of people who proved to me that everything I'd ever been told about gay people was a load of religious horseshit.