Debate.org should definitely host a rap tournament. Rap battles are, in a sense, heated debates. You're debating whether or not your opponent has sufficient skill, and if their level of experience is as extensive as yours. In my personal opinion, if every debate was settled in a rap battle, debate club attendance across the nation would increase.
Debate.org is a website devoted to debating topics with text responses. It would not make sense to have a rap tournament. This would be a good idea for a different kind of website, but not for this one. People who want to do this should be encouraged to post on a video sharing site or social network.