River has to be a fold I think. Villains barreling range is weighted so heavily on Ah and Kh that it feels like a huge strech to suggest that villain would have worse hands that he shoves on the river at any significant frequency.

I could be raise - fold on the flop

This price it's going to be pretty hard to find a river fold w the Qh. I do expect to run into Kh/Ah a lot though. I just don't think folding is good without some read we probably won't ever have.

I think our expectations improve on the Jd to answer the question above but I would just call both rivers.

It's always a stretch to argue the way I am going to but even on higher limits this sort of ugly betsize planning of 1/2 1/2 1/3 mostly ist just overpairs that these players bet like this.
The only good thing tbh is that if bad and overexcited/tilted he's probably/maybe also just sticking in his KK/AA w/o a heart on the river.

For that price probably just a call.

As soon as you have sqz-stats from villain you can and should quite often probably consider to 4b QQ pre but w/o stats I am fine with the flat.