This spot sucks soooo much

I had a session where I got 5 times KK and every time I saw an A on flop or turn....

The Question is what is his 3bet calling range and what his continuation range. After all I think there are slightly more hands without an A than with an A He might call 88+ and continues with every one of those and might float with some overs. As this board does not hit your range at all he can float relativly wide.

The turn card is problematic because if you do not bet he should bluff you a lot. When you bet you will fold out only worse hands and get called by better. Therefore I guess you should let him bluff you and c/c and reevaluate on the river.

Agree with that ^^ check call turn. and probably do the same on the river

3bet bigger as you're OOP and deep-ish; at least 4x