Well, it certainly seems you are not overstating things! I think your chances are excellent wherever you apply, honestly. Again. maybe took a look at Brown. If you are interested in other academic areas, Brown has a flexible curriculum with no gen eds, allowing for freedom of choice. I know you liked the Columbia CORE but consider schools like Brown, Amherst and Hamilton without gen eds too, if you want to focus classes on genuine interests rather than prescribed/required gen eds.
Glad you are sleeping 