ARAM isn't ARAM with bans
I appreciate the attempt, but putting bans in ARAM is very counter-intuitive. When I play ARAM I want a chance at playing any champ against any champ. Sometimes I get the super strong and sometimes I'm against them. It was part of the fun.
A much better solution would be to make every champion available in ARAM so that everyone has an equal chance and the fabled ARAM accounts would be rendered useless.