Well Yahoo games also has a trivia section and there is football trivia. Everyone faces a set of 10 questions timed so that the earlier you answer the more points you get (if you get it right) and everyone shares a chatroom that has the best scores of the day in the left hand column. I believe it ranks everyone active.
We could set aside a time when everyone participating would come into the yahoo trivia, and have everyone start the trivia at the same time. Play like 3 trivia games, then we have a big ranking of the top scores right there.
The way its set up, even if someone cheats and plays like 4 games of trivia he doesn't have that big an advantage because you might do well one game and really crappy the next.