Hey there,
So you want to go into consulting? Great! One thing you need to consider though is how you want to strategize your goals in your application (which might be slightly different than what you ACTUALLY want to do). I think you could choose EITHER consulting OR the family business as your "Career Arc" but would not necessarily suggest both (and a bit of thought needs to be done as to which goal might help you out more). Whatever you choose, you can include the specifics of both activities in your past, but the most important thing is that you have a SINGLE set of goals.
As for your choice of schools, I would that that roughly your auto-evaluation is pretty good when it comes to chances. I do think you have more options too, but I don't want to just go ahead and arbitrarily suggest you one school over another without knowing you better!
Best,