I think it is easy to solve using equilator 
You can always fold oop and take your -3bb loss.
Another option would be shove and take +11.8bb win if he folds or if he calls then hope that you´re ahead enough times or at least flipping to make shove profitable.
Against 9% you´re basically flipping
Hand Equity Wins Ties
AQ 47.72% 1,063,434,468 278,750,188
9% 52.28% 1,178,326,832 278,750,188
So you can´t go wrong by shoving there, but I think his 3-bet range is definitely wider on the BU consider his stats: 68/32. Smt like 20% would likely be reasonable:
Hand Equity Wins Ties
AQ 58.11% 3,290,577,200 360,085,448
20% 41.89% 2,321,853,704 360,085,448
Against that range AQ is way ahead that shove should be mandatory.
Ip I might call, but oop you just face too much difficult situations, so I like shove more than calling or folding.
If you decide to call to keep in his dominated hands, I would play for stacks on Axx and Qxx boards
Against full stack what should I do?
- If you 4-bet, you should 4-bet/call for value, but I think AQ is too strong to turn it into bluff so I´d personally would just call oop and play aggressively my tptk postflop. He has there enough worse hands, that would stack off, if I raise on Axx or Qxx boards