$2 NLHE Full Ring: AKo in Btn vs 2 limpers

Very unusual hand considering the villain has some good stats, although the sample is only 46 it is almost good for vp and pf. Limping preflop so I bet and villain cold called. Then on flop and turn he lead into me even though I was the pre flop aggressor. From a TAG should I take the retreat here? Only thing that comes to mind is a set but can we fold TPGK here? I think the raise on the flop was weak and I should have pumped it up for a lower SPR. Also if we GII on flop wouldn't we play right into set? And if we play every hand with fear of set wouldn't that just hurt us more? Given the action its hard to put villain on anything other than set but I think I should've done that on the flop but didn't. I think that's why I shoved on the turn however when I didn't shove the flop I think I should've played the river differently? What line should we have taken for both streets? Villain - H:61, 16/10/3 3B:8 and has called 2bet from blinds with ATs before.

888 Poker - $0.02 NL - Holdem - 7 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

UTG+1: 130.5 BB (VPIP: 16.39, PFR: 9.84, 3Bet Preflop: 7.69, hands: 61)
MP: 100 BB (VPIP: 13.92, PFR: 11.44, 3Bet Preflop: 3.49, Hands: 239)
CO: 101 BB (VPIP: 53.19, PFR: 24.11, 3Bet Preflop: 15.09, Hands: 142)
Hero (BTN): 159 BB (VPIP: 26, PFR: 10, 3Bet Preflop: 15, Hands: 40, AF:1)
SB: 238 BB (VPIP: 39.44, PFR: 16.90, 3Bet Preflop: 0.00, Hands: 71)
BB: 75 BB (VPIP: 15.92, PFR: 10.19, 3Bet Preflop: 7.02, Hands: 157)
UTG: 103 BB (VPIP: 19.12, PFR: 8.77, 3Bet Preflop: 1.49, Hands: 670)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Ac Ks
fold, UTG+1 calls 1 BB, fold, CO calls 1 BB, Hero raises to 5.5 BB, fold, fold, UTG+1 calls 4.5 BB, fold

Flop : (13.5 BB, 2 players) As 3c 9s
UTG+1 bets 6.5 BB, Hero raises to 19.5 BB, UTG+1 calls 13 BB

Turn : (52.5 BB, 2 players) 4d
UTG+1 bets 22 BB, Hero raises to 118.5 BB, UTG+1 calls 83.5 BB and is all-in

River : (263.5 BB, 2 players) Js

When he donks that turn, I seriously think that he has a strong made hand that doesn't want to give a free card to a flush draw.

He either has a big A, just like you, or he has two-pair+. The limp preflop makes 33 a real possibility.

I would just call the turn and get as cheap a showdown as possible.