AK vs big overbets

Call, you wanted something like this or no?

Your imaginary opening range:

Vs 2x pot you have to defend 34% of your range. So your flop calling range could look something like this

And OTT vs his bet you have to defend about 40% of that range. It would look something like this

I did this quickly. Maybe it would be better to leave some other hands and remove some others. I took out nut flush draws and kept KhXh ones because those block villains top pair hands.

I think AK could be in your defending range here. You block AA,KK and you do not block his possible flush draws. But I think slightly overfolding is not that bad.

I would cbet this flop too... BB will call wide preflop and we can charge weaker hands.

I am not a fan of calling overbet on turn! Fold and move on.

Actually I screwed that analysis. I should have used your checking range there instead of your whole range of course...
And about the flop line. I think TPTK is a hand that you could just start betting.

What are your reasons behind checking the flop?
You should lead this 100%.

As played, fold turn.
If he's spewy and you know it, you could possibly call. I'd prefer to wait for a better spot for him to get tricky in.

I think that doing a c/r OTF or betting is generally better than c/c-ing. You have lots of worse hands to c/c here on this board. As played, meh, this guy seems fishy based on his bet sizes so call?