Suggestion: Have all bans occur at once.
Picks and bans take forever, and when you add in all the dodgers it can take 15 minutes to get into a game. If you let all bans take place at once you would significantly cut down on the time it takes. In addition, I would not boot people for not banning someone. If they fail to ban a champ then less champs get banned, and that is fine. Let's speed the queues up.