Aren't you sick of ARAM games won in champ select?
Can't you at least ensure that the top 20 ARAM picks are not all on the same team? It's easy: if one team has more than the other, then it's forced to re-randomize the exceeding picks, starting with the user with less champions unlocked.
Please... those games are no fun for either side.
[zombie-nunu-tears]