If I were you, I'd only apply to Harvard and Stanford if you have money to burn -- I think that your profile has near insurmountable odds against those pools.
Columbia seems like a good reach school to leave in, and in my opinion, ought to be your #1 target so much that you should apply ED.
NYU and Cornell are good fit schools that I think you have a very reasonable chance of acceptance at. I would add Duke and Carnegie Mellon to your research list. Maybe an outside look at Boston College and Rochester as potential safety schools.
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