<p>^ I hope you are joking about Notre Dame because it certainly is not the most prestigious of the three. The two most prestigious here would be Williams and Duke. Though both Duke and Notre Dame are known for awesome school spirit, partying, and sports, Duke is also known as a research and academic powerhouse with excellent programs in sciences, medicine, politics, etc. Notre Dame, though no doubt having excellent programs, does not have very many distinguished fields and, as a result, derives most of its “prestige” from sports fans and enthusiastic alumni.</p>
<p>Williams is a fantastic school. However, it is very isolated and can get boring/drab at times if you are not 100% into doing everything on campus for four years. Notre Dame is definitely not much better than this either and Duke would probably be stronger with Durham accessible and Chapel Hill a quick drive away.</p>
<p>I, personally, would cut out Notre Dame and narrow it down between Williams and Duke and possibly UT for financial reasons. Williams because you seem to connect with it and it is a stronger school than Notre Dame, and Duke because of the financial aid and research opportunities available.</p>