I’m no pro, but I think you played that pretty well. You can’t really get away from in once you bet the $100 and he raises you the rest in.
With that exact holding he only has about 25 percent to hit a flush or a straight. That’s about even pot odds to call. Somebody correct me if I’m wrong..
That being said, I probably would have 3 bet larger, having aces out of position. That way you can charge good hands, be dominating the crap hands that call, and fold out everything else.