This is pretty much exactly what I was thinking as I was reading through this. I'm not laying down AA here (not with these stacks vs. the size of the pot), so the result would have been the same. But I would have check raised him all in on the turn. At least that would have been my intent. I would have pushed if he made any bet and if he checked behind me, I would have value bet the river (probably about half of his stack), and of course called when he pushed in on me there.
Keep in mind though, I struggle with overpairs sometimes... I think it's one of the weaker parts of my game, in fact. So take my advice with a grain of salt here. I seriously don't see how you could get off this hand though. I really think folding this anywhere along the way would be a mistake.
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