<p>Although it would be a big reach, I suggest applying to U. Chicago EA, as Chicago has historically been willing to accept interesting candidates, although perhaps lately its admissions practices are becoming more normal for a selective school. Reed also sounds like a good suggestion.</p>
<p>Your mismatched stats are more extreme than typical, so it is really hard to predict where you will get accepted. It will be important to apply to schools with a wide range of selectivity levels. I would also suggest to apply EA or rolling wherever you can. If you get an early admit, you can concentrate on reach schools, and if not, you will know that you need to add some less selective schools.</p>
<p>Would you prefer a large or small school?</p>