I am in flight at Purdont and my opinion is it wouldn't be that hard to double major in flight and management. I'm not a double major but I am an econ minor. The flight course load is not difficult at all. I know people who are double majors in completely separate areas of study and they seem to be doing fine but it does take a lot of work.
I know a lot of classes overlap because I often have AT management students in my classes but you can check for sure on that site clayfenderstrat gave you.
With that said, I'd recommend two options:
1. Major in something completely different and try to get into some of the flight classes. There is usually space by the second semester of your first year from what people have told me. This allows you to have something to fall back on. In retrospect, I wish I did this because I feel/know my aviation degree will be useless in a year when I graduate.
2. If you are dead set on majoring in flight, minor or double major in management at Krannert. Personally, I wouldn't want two useless degrees in aviation and Krannert (the business school) offers a lot of classes at are applicable to many industries.
Let me know if you have any more questions.