Perhaps with the popularity of the TV game, Survivor, it might be fun to divide the room into tribes and let each one come up with its own name.
The activities might pit each of the teams against the others for possession of "immunity" for the winning group. That group then gets to sit out the next challenge, while the other groups must participate.
Rather than having a tribal council, at which individuals are voted out (which might hurt the feelings of the "weakest member"), the team might be able to "vote out" some particular small assignment they would otherwise have to do (i.e. the next pop quiz, the next daily assignment, etc.)