This hand happened at the last home tourney. I actually posted the basic synopsis in another thread (which gives away the results) but I wanted to see how the pros here would play it.
It's a 21 man tourney at a friend's place. Starting stacks are approximately $12000. Blinds 10/20. There are three 7-handed tables and I'm at one with a couple of guys I've never played with before. The other 4 guys I've played with plenty of times and have a decent handle on their game.
So its only been 5 hands in and I'm dealt T9o UTG. Everybody has been friendly so far, so I decide to limp in and hope for a family pot. Two callers behind me and both blinds are in.
Flop is

. Not a bad flop but I'm going to need some help to improve. It checks around and the turn brings

. BINGO! I've got the nut straight. Lets see if I can milk some change out of this.
Blinds check and I bet $80 into $100 pot. One fold. New guy reraises to $180. SB folds. BB cold calls.
I know I want to reraise it but how much??