[effang]

this is a tough spot. i wish you had bet the flop, then if raised you could have 3/bet and got it in easier.

i don't agree that if you had a K you would have always bet the flop. Checking this flop is fine, it's dry and you're not getting too much value out of worse hands with your AK unless villain is truly horrible.

that being said when you 3/bet villain, you are saying you have a K or better, and when he 4/bets you...i think you're smoked.

if you only had 100 bb i think this is an easy call...150 it's a hard fold, 200 bb i think i could fold it.

27/11...KQ is right in his range. it's unfortunate that's the only hand you are losing to (reasonably).