Any other way to play this AK?

[PleasureGuy69]

The main villain in this hand is pretty laggy: 26/20/5.

I've seen him raise the CO against a super laggy button and then on a paired low board with a flush draw, he c bets with nothing, then gets raised and then 3 bets the flop. Then he pushes OOP on the turn w/ nothing when the flush hits.

I'm pretty sure he was squeezing here because I was raising whenever I was in LP and there was a limper before me.

Since he called my 4 bet, can I put anymore money into the pot without an A or King hitting?

Full Tilt Poker - No Limit Hold'em Cash Game - $0.50/$1 Blinds - 6 Players - (LegoPoker Hand History Converter)

SB: $51.80
BB: $216.15
UTG: $88.80
MP: $13.25
CO: $146.45
Hero (BTN): $119.85

Preflop: Hero is dealt (6 Players)
UTG folds, MP calls $1.00, CO folds, <font color="red">Hero raises to $5.00</font>, SB folds, <font color="red">BB raises to $17.00</font>, MP calls all-in for $12.25, <font color="red">Hero raises to $40.00</font>, BB calls $23.00

Flop: ($93.75) (3 Players - 1 All-In)
BB checks, Hero checks

Turn: ($93.75) (3 Players - 1 All-In)
BB checks, Hero checks

River: ($93.75) (3 Players - 1 All-In)
<font color="red">BB bets $60.00</font>, Hero folds
Uncalled bet of $60.00 returned to BB

Pot Size: $93.75 ($3 Rake)