I like your line until the flop.

The flop is a way ahead/way behind situation (since it's so unlikely he has a hand like 9 10).

A good player's most likely holdings here consist mostly of PP's. I can see how it might be AK with position but it's def an unusual line to take if he has AK.

Much more likely (after he calls your preflop 4-bet) is 99-QQ with slight possibility of AA/KK trapping.

Based on your description of your game though, I'd doubt this is AA since you claim to play pretty tight/straightforward therefore making it more likely for him to think you want to get all in preflop here (if he's an aware player he'll be aware of this).

Since the only hand you really want to protect against is AK, which will only connect with the turn about 12% of the time, I'd check this flop. The reasoning is pretty simple : if the pot gets much bigger through YOUR aggression here, you're beat vs a decent hand-reader almost 100% of the time.

If, on the other hand, you check the flop and either check-call a safe turn card or lead the turn, you've underrepped your hand and have given him the chance to bluff, thinking you're likely on a whiffed AK.

As played (after the turn bet), I think villain shows up with JJ/QQ/KK almost always.