To be brutally honest, business studies is not very well regarded amongst top universities and so you will probably find it harder to get an offer to those universities with AAC than if you were studying traditional academic subjects. If you get lower than a C grade in History then I have to say your chances are unlikely.
It does depend on the course though. A competitive course such as Economics at a top 10 university would probably be out of the question with an AAD - but if you want to study a less competitive course, or Business Studies or the like where your AA is Business would likely be better regarded, then you have a decent chance at a top 15 university I would say. (edit- ahh i see you wrote that you do want to business at uni)
But I'm just a student myself so ultimately I'm just speculating.
edit: ^ the guy above goes to UWE. You want to go to Bristol University right?