partypoker - 275/550 NL (8 max) - Holdem - 8 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

MP: 188.52 BB (VPIP: 21.43, PFR: 11.90, 3Bet Preflop: 5.00, Hands: 43)
MP+1: 179.74 BB (VPIP: 20.00, PFR: 18.18, 3Bet Preflop: 18.18, Hands: 35)
CO: 179.74 BB (VPIP: 11.11, PFR: 5.56, 3Bet Preflop: 0.00, Hands: 37)
BTN: 176.96 BB (VPIP: 14.29, PFR: 14.29, 3Bet Preflop: 0.00, Hands: 7)
SB: 184.71 BB (VPIP: 33.33, PFR: 25.00, 3Bet Preflop: 8.33, Hands: 26)
Hero (BB): 182.35 BB
UTG: 183.26 BB (VPIP: 20.00, PFR: 15.00, 3Bet Preflop: 10.00, Hands: 40)
UTG+1: 179.26 BB (VPIP: 17.74, PFR: 12.96, 3Bet Preflop: 4.39, Hands: 311)

8 players post ante of 0.12 BB, SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 2.45 BB) Hero has Kh Kd
fold, fold, fold, fold, fold, BTN raises to 3 BB, fold, Hero raises to 11.5 BB, BTN calls 8.5 BB

Flop : (24.45 BB, 2 players) 9d 7c 8d
Hero bets 19.07 BB, BTN calls 19.07 BB

Turn : (62.58 BB, 2 players) Qh
Hero checks, BTN bets 31.5 BB, Hero calls 31.5 BB

River : (125.58 BB, 2 players) 3d
Hero checks, BTN bets 114.78 BB and is all-in, fold

What would be the best line and sizings here?