flop nut flush in 3-bet pot. How max$$$?

Ok, the flop bet was weak to try and induce a cr. Didn't work. Figure villain has a weak-ish hand, maybe the king of hearts or some other counterfeited draw. Turn bet size? I want villain's stack - villain is like 20-9-2 over 100 hands.

Full Tilt No-Limit Hold'em, $0.25 BB (9 handed) Full-Tilt Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB ($24.50)
BB ($28.05)
UTG ($18.05)
Hero ($49.15)
MP1 ($24.65)
MP2 ($25.60)
MP3 ($24.85)
CO ($15.80)
Button ($24.65)

Preflop: Hero is UTG+1 with K, A.
1 fold, Hero raises to $1, 5 folds, SB raises to $1.85, 1 fold, Hero calls $0.75.

Flop: ($3.85) 7, Q, 8 (2 players)
SB checks, Hero bets $2.3, SB calls $2.30.

Turn: ($8.45) T (2 players)
SB checks, Hero bets???

the only heart villain ever has here is the Jh if he has JJ. Keep betting, something like $5 seems good enough.

Originally Posted by daven

Figure villain has a weak-ish hand, maybe the king of hearts or some other counterfeited draw.

You have the king of hearts btw.

I bet like $6-7.

good point about me having the king of hearts...
I bet $5.5, villain folded. JJ/AK/AQ are the only likely hands I guess, dunno what else is 3-betting pre-flop then check-calling the flop. I guess villain may have viewed me as fairly aggro, i was probably running around 15-13-4