<p>Congratulations on your fine accomplishments. There is a lot you can learn here; more if you post rather than merely lurk.</p>
<p>Assuming you have the other parts of a good application (ECs, leadership, good recs, etc.), there is no school you can truly rule out. But you are getting to a level where there are no matches, only reaches and safeties. The Ivies and the top tier of LACs are feasible for you. But their admissions rates are 5% to 15%, and none can be called a “match” simply because the odds for anyone are not that great. Ironically, because of this, top students tend to be applying to more places merely to put the odds in their favor.</p>
<p>Another dynamic is that these top schools are typically giving very generous need based aid, but not much in terms of merit. So depending on your family’s financial situation, they may be very good deals–much much less than public schools.</p>
<p>At any rate, take Mizzbee’s advice and start narrowing your list based on the features you value, and keep asking questions.</p>