AK on monochrome board

What hands do you think villain raises you with OTF?
I know folding seems tight but maybe it is better to fold already on the flop without A♠:. Or at least OTT?
As played river is a call of course.

Fold vs the raise with a hand that is not Nut FD...
OTR you have to call, otherwise why do you call all the way... :

Imo it is a fold otf. Your hand seems strong, but you only have outs for the flush. If you hit the A or K you can lose against two pairs or flushes. If there will be a spade ott you won't know where you stand at this hand

We can xc once then?

Imo cbet is fine. The turn and river were standard. I think the best play here would be cbet/fold

What hands are calling and what hands are folding vs cbet on flop?
And we are not drawing to the nuts.

AK,AQ,KQ without spades and pp-s. He will often have suited broadways as well. So either he has a flush otf or he has completely nothing (except AJs,QJs,JTs,T9s). Even if he has a top pair our flush outs will still be good in most of the times.

Imo cbetting this is ok. We have a lot of fold equity. If we check villain might stab with his whole range and we would have to fold to further action. By betting ourselves we get more info.

We want him to stab with his whole range...

No we don't. We give up initiative and we have no clue if he already has a flush or not. Then we have to fold when he barrels turn. I don't like checking flop.

We do not have to pump the pot. Keep it small, keep it simple.

Betting OTF has a lot of fold equity and I'm happy to make villains fold instead of them making us fold.

My concern is that when we face a raise we will feel awkward.

Facing a bet would be awkward too. Villain might have As, made flush, set, pretty much anything. Then we have to fold to his turn or river bet if we don't hit our flush and even if we do he might beat us. I want to keep initiative here.

We need to keep pot small and xc.

I would rather bet fold than check call. But whatever.

Both have our way/style. I prefer passive approach.

Yup, we just have to agree to disagree

I agree.