2/5 live: Sticky AK situation

[Lucere]

Just got moved to the table. No read on opponents.

I'm dealt Ah Kh on the button.

UTG: limps_calls
UTG+1: limps_folds
4 folds
Hero: Raises to $20
SB: folds
BB: folds


Flop: 3s Ac 6s

Villain: checks_raises to $60_calls
Hero: bets $30_reraises to $160

Turn: Ks

Villain: checks
Hero: checks

River: 2s

Villain: bets $175 all in



I'm curious as to people's thoughts on this hand. Did I completely bungle this hand? Raise more preflop? Bet more on flop? Reraise more on flop? Bet turn? Thanks.