Ok I'll be the first to tackle this question! I'd like to say that my long distance relationship has been a success (but let's forget about that intsy break up that happened a few weeks ago. I know y'all are thinking about it.). I met my current boyfriend right after I was initiated. At the time he was only an hour away, and was only an hour away through the end of my freshmen and sophomore years of college. It really did work out well! It was hard in the sense that I did have to balance my sisters and sororoity work with him, but it IS managable. I would make sure to do my homework during the week before I would leave to see him. My sisters did gripe that they missed seeing me on the weekends and that I was missing potential sister-bonding time, but my good friends understood. And over time the rest of my house did too. You just have to be flexible with your time because there will be conflicts between sorority events and times you want to see your boyfriend. Again, it's managable. Now my boyfriend is about 2 1/2 to 3 hours away, and it makes it easier because I can't see him every week.
Ok. More advice I have. You'll need to talk with your boyfriend about time commitments you'll have with your sorority. He just needs to know that sometimes the sorority will have to come before him. He also needs to be supportive of you and your decision to go greek. My boyfriend before I rushed was NOT supportive and wanted nothing to do with my future sorority. Needless to say, I dumped him right after Bid Day.
Now, I'd say be honest if anyone asks you about your boyfriend during rush. That's IF you're asked. I know at Butler the sorority members aren't supposed to talk about boys, beer, or religion. But, if you're asked be honest and upfront. He is a part of your life and a part of who you are. No need in covering it up.
I hope my ramblings have helped in some way. People always criticize LDRs, but it's worked for me. I've been with my long distance boyfriend for over two years, and we're still planning on marrying. It can work.