Just an idea for ARAM (Howling Abyss)
Even though there are many players who choose to play ARAM now instead of dodging when they get a bad champion, I thought it might be a cool idea if a player dodged a game purposely, they not only get the timeout, but they also have to play the same champion they dodged with. Some might say it can be abused, but I highly doubt it, since players aren't going to leave like that more than once and get lots of games in. I really do believe that it would keep that many more players from just dodging the queue. There's really no reason a player would dodge because they got a champion they wanted to save for later.
So what if you have to leave for real life reasons? No big deal, you're just going to play the same champion before you dodged.