At this point, with perfectly inefficient play (that is, "wasting" as many down-votes as possible and always downvoting the highest remaining option), there cannot be more than 20 further votes, no matter who wins. With perfectly efficient play, wasting as little as possible, it could be over in as few as 7. It will likely end up being 11-16 roughly--the middle chunk of that range. Because we aren't perfectly inefficient, but we aren't perfectly efficient either.
Whatever helps us eliminate the Drunken Master the fastest. If we need to eliminate all PHB subclasses before we can finally get the Drunken Master the help and treatment he desperately needs, so be it. It's weird, but...sure.