Playing 60+ bbs deep, I think flat calling his c-bet is definitely best here.
Only problem with this is he can put us under some pressure on most turn cards, we really need to make our striaght in order to win the pot, or hope the turn goes chk chk and he's not PC'ing something, chk/call, chk/call chk/fold when we miss is ok we have 6 high so never giving equity up but it's just a lil weaker than ideal for me I'd rather just put him in a spot where he's having to make tough decisions, instead of putting ourselves in a spot where we need to hit 1 of 8 outs in order to win.
Obviously calling defo a legit option, just think its not DEFO the best way.
I quite like c/r the turn in this spot.
Obv happy to take a free card if he decides to check back, but c/r the turn on a blank looks pretty strong and although AK prob doesn't fold, Kx has a hard job calling.