@matthewc23 - To answer your question there are not majors or anything like that out there specifically for Sports Information Directors, and the major they would usually take to fall into some type of position like that would probably be Sports Management or some variation of that major.
I will say that you do not have to go to school for this job in order to specialize in it. I have noticed that most of the time it comes down to experience and climbing the ladder and who you know. I know a guy that was a theatre major in college, but played a sport and after he got his masters in theatre he was hired as the Sports Information Director at a small college because they needed someone desperately and he was capable of doing it.
I say it revolves around your connections and who you know and how capable you can be. Some people are hired because they can handle the media and have good communication skills and are able to create good press releases.