I suggest you look at the Common Data Sets for your listed schools. Vanderbilt, for example, registers a middle-range SAT profile of 1470–1570. Candidly, considering your GPA and your current SAT score, an application to Vanderbilt would seem to represent a wasted opportunity at a school elsewhere that might be realistic for you. If you would like to research a wider range of colleges, which I would recommend, this source might be helpful based on your academic interests:
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