I think it’s admirable that you are a bloom where planted type. I think your chances are going to be best at a school with ED where you are committed to attending, however I can’t help thinking that if you applied to Cornell or Duke ED, you’d probably always wonder if you could have gotten into Harvard or Yale or Princeton. So I think you should apply EA or SCEA to whatever school you think you like best and forget the ED schools.
My guess is that you might have a slightly better chance at Duke than Cornell, just because of your background. But that is not based on anything. I don’t think any of us have special insight about whether there are any particular schools looking for internationals - especially ones like you with unusual backgrounds.