QQ overpair facing turn shove

Just by looking at the villain stack size, CO is unlikely to be bluffing. It seems to me the CO is looking to get paid. I will call and make a note if the villain is jamming light or only value. I will not call the next time if the villain is only jamming for value.

Pushing when that deep is scary. Though the other deep player folded on flop....
If you call - make a note.

Nobody here will know if he is bluffing. What you objectively can do at all is to first look at the pot odds (more than 2:1) and then see where you are in your own range. (If you 3-bet tight, you may be capped at AA here.) Then make sure you call a decent percentage of your range. Else you will be exploitable.

A detail, but an important one: While the pot odds are important, when bluff catching properly mathematically, you should mostly look at villain's investment in a possible bluff. This investment is much higher when he check-raises than when he bets straight out - even if the pot odds for a call may be identical. You need to call down much less in the check-raise (or raise) scenario.

With that latter point in mind, I don't think there's a game theory reason to call down with QQ. But don't fold AA if you are capped at AA. Observe that QQ and AA both beat bluffs, and that both lose to value. But if you don't do it this way, it is back to "guess villain's hand". That you have to do yourself:)