Herofolding QQ's OTF

I will disagree that people pretty much never bluff squeeze.
This is a classic situation.

I would count some bluff squeezes too in his range.

Folding OTF seems too weak, but villain shoving any turn is a possibility.
Because we have no real info on villain, we could take a GTO approach and call with big enough range to deny villains autoprofit.

You probably call his sqz pre with quite tight range? AKo,AQs+,QQ-88? So on the flop you defend with around 60% range -> QQ-88, and if he shoves OTT with about 50% range -> JJ,QQ.

So theoretically I would say flop is a call and so is turn if he shoves. As played QQ is the best hand in your range.

I dont understand your fold on flop. What was your plan when calling pre flop then? Even if we assume he never bluff 3betting pre flop we cant fold on flop esspecially when IP. He still cbet every AQs or better hand when missing on the flop. And if you would face a shove OTT then you could consider folding, but i would still call a shove OTT. And if your against KK or better be it. Theres only 2 hands from his range that you are dominated by, so i would call on flop all day every day.

I also think we cannot fold on flop. We have a strong overpair and folding is too weak.

What are you even hoping for on the flop that would stop you folding? He almost always c-bets that flop so you must call with 88+ as said before and likewise calling a shove on good turn cards. I wonder whether shoving the flop is an option too as you get value from lower pairs and diamond draws I think...