People mainly want this to get rid of Shaco, right? Perhaps the better solution is to give Shaco map-specific nerfs, considering how frustrating he is to play against, and how annoying it is to have him on your team (since his teamfighting sucks). Or better anti-stealth options.
Aside from Shaco, I don't really want any bans. Blind Draft with 1 ban per team? :D
On a more serious note (1 ban per team probably wouldn't work), I think Blind Draft is a decent solution if you have a few champions that are overpowered and that should be banned every game. I don't think there are any champions like that at the moment. Blind Draft might add a few problems though: More queue-dodges, more flaming in your team since someone banned the "wrong" champions, more tryharding ("They didn't ban x strong champion? Time to pick it!) and slightly longer champion select. Considering the current reasonably balanced state Dominion is in, I vote for "No". I might change my mind should I feel the bans would be necessary to prevent certain champions from breaking the game, but right now it's not needed, and I'd probably mostly spend the bans on annoying non-OP champions (like Shaco, Teemo, Rammus, and such).