<p>Go to Williams. First of all, if you do reasonably well, you are pretty much assured to be able to do your junior year at Oxford, and sing in the Exeter College chapel (college of Tolkien). The math department at Williams is excellent, as is philosophy, but, more importantly, you will have Oxford-style tutorials.</p>
<p>As I wrote above, the academics at Princeton and Williams, and their student bodies, are pretty much interchangeable. So if the other factors (rural v. suburban, etc.) don’t outweigh “Oxford lust”, you should position yourself to fulfill it.</p>