3-BET pot holding AKs, fold turn

I feel that check/folding the Turn is too week, so I think we can check/call and check/fold almost all Rivers. I also don't think that bet/folding the Turn would be a mistake. He could have hands like AQ, AJ, TJ which would maybe call vs 1/2 (or smaller?) bet, but wont bet themselves in case we check.

Xc seems fine.
You should know how to react before you hit the check button.

Since we are playing in a 3bet pot where ranges are tighter, I probably prefer check calling the turn. In single raised pot I might barrel twice.
Check folding seems too weak.

i think bet-fold is better option. X seems really weak. Bet half pot and X-C or X-F river depending on villains sizing.

I would most likely bet/fold the turn as well, because I think you can still have some thin value against random players on Nl2 and if he’s raising or shoving you get only action of better.

Cheers,
SDK1987