I'm all about a re-raise here. Make it 15 to go and punish the drunk. If you get any action behind you after that large of a re-raise, I'd be very cautious. From your description, you have not been playing policeman much and the other players are probably conscious of that, so a call on your hefty re-raise is very dangerous (at least a pocket pair). A call from Tyson of course means nothing. You want to iso on him and you want position on everybody in the hand, so definitely re-raise, and not just a tiny amount.

You asked about a re-raising range: I'd start with KQ and go up from there. KQ+, 88+ in the world of pairs. If you re-raised him twice I'd tighten the range back up a bit because you don't want to start getting action from the bigger stacks behind you who are trying to play loose.