PokerStars - $1 NL FAST (6 max) - Holdem - 6 players

BTN: 163.54 BB (VPIP: 19.30, PFR: 14.04, 3Bet Preflop: 5.56, Hands: 60)
SB: 103.28 BB (VPIP: 26.67, PFR: 20.00, 3Bet Preflop: 0.00, Hands: 30)
BB: 122.75 BB (VPIP: 18.47, PFR: 12.74, 3Bet Preflop: 8.06, Hands: 160)
UTG: 133.26 BB (VPIP: 40.00, PFR: 40.00, 3Bet Preflop: 100.00, Hands: 5)
Hero (MP): 145.19 BB
CO: 137.4 BB (VPIP: 17.65, PFR: 5.88, 3Bet Preflop: 0.00, Hands: 34)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Ah Kd
fold, Hero raises to 2.5 BB, fold, BTN raises to 8 BB, fold, fold, Hero raises to 22 BB, BTN calls 14 BB

Did 4 bet the BTN as I don't like to play OOP and have a zero calling 3 Bet OOP strategy.

Flop : (45.5 BB, 2 players) Kh 3d Jd
Hero bets 25 BB, BTN calls 25 BB

Flop is good for my range so I bet out for 1/2 pot.

Turn : (95.5 BB, 2 players) Ad
Hero bets 98.19 BB and is all-in, BTN calls 98.19 BB

On the turn I think that I am either way behind and villain has AA/KK/JJ (if villain calls 4bets with those) or have a similar hand like AK except that I have a flush draw. By going allin I might get him off JJ, but I don't think that he will ever fold AA/KK/AK as AK blocks me having AA or KK. I guess my allin is close but if villain would move allin I would call for sure also so I thought in the hand that I might as well try to blow him of JJ perhaps.

River : (291.88 BB, 2 players) 7s

What do you guys think of the line taken?
Did I overplay my hand against a player with nitty stats (only 60 hands though)?