Special Game Mode Ideas

So the Nemesis draft sounded fun at first but failed to deliver, so I have given some thought on how to improve the concept.

The best thing I can think of is have every player pick a champion, and then randomly assign each player in the game one of the ten picked champions. No bans, no trades.

This will allow for some more dynamic teams and possibly more creative laneing like Nemesis was intended to do.

Players will have to choose between picking what they think to be strong or weak champions, knowing that they can be given to either team, and any person. Do you pick a champion that you excel with and hope to get it? do you pick a champion that few players are good with and hope that no one on your team gets it?