The problem with these "sign in and help your greek org" programs we've done for basketball games is that the people you attract don't give a damn about the game, stay just as long as they have to in order to get credit, and leave. I distinctly remember a sorority girl wearing a Miami sweatshirt into the O Zone getting berated a couple years ago* and she clearly had no idea what she'd done wrong. I think the people in these groups who are genuinely interested will make their way there, and the others don't really do us much good. I agree scheduling around such things would be nice, but if enough overlap shows up as interest builds in the program, they'll probably figure it out on their own.
*I may or may not have participated in this activity.
At those functions, just make it so the Greeks have to stay until the end of the game. Problem solved. I mean, if any student goes to a home basketball game against Miami, Akron or Kent and honestly says they are not having fun, then there is nothing more we can do.
That girl in the Miami sweatshirt, did that happen to take place during a volleyball match?