In your situation that you put yourself in I'd say your line is fine on the flop. You could also pick a 35-70% sizing on flop and jam turn with some potential fold equity potentially since spr is already big. I'd wait for a better spot to 4bet. Create a range of hands your doing this with that contains blockers of A or K. Even a hand like KJ or AQ blocking kings and jacks lowers his chances of having those hands significantly. Your also oop which doesn't help the cause. If his range is 20% containing two blockers will be profitable if you expect him to be only continuing with AA-1010.