This hand comes from a 2/5 NL game. Villain started the hand in the CO. He was a decent player and hand reader. He was positionally aware and would use it to his advantage to take down pots. He had built his $1,000+ stack largely on one big hand where he called down AQ on a J J 7 2 5 board with TT (preflop, he opened for a raise then called opponent's 3-bet; he then called successively bigger bets on all 3 post-flop streets, correctly so).
In this hand, Villain was in the CO. UTG limped, next player limped, and then Villain raised to $30. Hero had about $700 behind, and called from the BB with 88. Hero's likely image was tight. The limpers called.
Flop ($120): Q
8
7
Everyone checked to Villain, who bet $60. With two different draws present and Hero OOP, Hero check-raised to $200 to get the hand heads up with Villain. Villain tanked for a little bit, then called.
Turn ($520): Q
8
7
9
At this point, Villain's most likely hands given the action were AQ, KQ, QJ, JsTs, AsXs, AA, and KK. Smaller or larger sets or two-pair combinations seemed unlikely.
With $520 in the pot and roughly $470 left behind, how should Hero size his next bet?