ARAM Balance Idea
Team composition in ARAM tends to become unbalanced when too many people with ARAM-only accounts are playing. Not only does their limited champ pool increase their chance of rolling a strong ARAM champ, it also reduces the chance that players using their normal accounts will get one of the more popular ARAM-only account champs (e.g., Lux).
Currently, the number of earned rerolls a player can store is capped at 2. The speed at which players earn rerolls increases with the number of champions owned. IIRC, players owning 95 or more champs earn a reroll every two games.
In order to give a little more balance to ARAM team comps, I suggest that Riot (1) increase the stored reroll cap for players owning at least a certain number of champions, and (2) further increase the speed at which rerolls are earned as the number of champions increases.