When you 4bet A-Q, you are effectively turning your hand into a bluff as it does so poorly against the range of hands he will call/raise a 4bet with. But A-Q definitely has value in a 3bet pot, so i far prefer a call over a fold even though we are OOP.

I like calling the 3bet and check/raising when i hit and check/raise bluffing when the flop is paired, or the board is K-x-x. Other than that i would check/fold most other flops.