[Rushmore]

I always like to open raise for an extra bb with QQ and JJ so I'll have a better idea of the strength of any reraising hand.

That said, you have a laundry list of reasons to fold. You have the player pegged as solid. Is he going to push here with JJ?

You made the big open-raise and got reraised. That should tell you something.

Lastly, even if you're up against AK, you still don't want this at this stage.

This is an easy fold against the player you describe in the situation you describe.