The ivies, Stanford, Duke, and Rice are very random in admission, so those are iffy. Hopefully your legacy at Princeton will give you a good boost? However, I think your ECs, GPA, and test scores will give you a good shot at getting into Vandy. I don't know much about Swarthmore and I heard UNC is really picky about out of state applicants, so I can't help you there. You don't need to worry, though, you're scores are good. Try to find some more match schools/safeties. Emory, Wash-U, Northwestern? Tufts would be a good safety if you are interested in liberal arts, since you have Swarthmore on your list.
Chance me back? UChicago and Duke?