A) Fold
B) Jam
C) 4b/call
D) 4b/fold
Why is calling the 3bet not an option? We keep his range wide etc. If we didn't assume he had a wide squeezing range here then we'd be folding right?
Calling 3bets OOP is often a bit icky, but this is a spot where it is probably fine, especially given stack sizes, assumptions about opponents, and our actual hand.
Then we check-jam a TON of flops. Probably not Kxx ones, and perhaps not Axx or Qxx ones either (we might check-fold the first one, and can check-call the latter two). Check-jamming just about every other flop works really well with effective stacks: maximises against flop cbet bluffs; sometimes folds out better (e.g. unimproved AK and second pair type hands); and protects our hand vs 6 outs when we are ahead with AQ high, having first got opponent to put a cbet into the pot.
This can be a really good exploitative way to play AQ in spots like this.