Just wanted to say I think you made the right choice. I personally think it would be insane to pay that much more for ANY school over Williams. Williams sends its kids to the top grad schools in the country in high volume. They are know for it. Grad schools do not care at all if you went to Stanford or Williams, they care what you did there. I promise you that people who know, know Williams.
Also. Concerning a rigorous atmosphere, trust me the Williams students are just as hyped up and anxious as the Stanford kids. There’s zero difference there. In fact Williams is currently trying to figure out how to help its student body relax more and worry about school/grades less.
The Williams alums are extraordinary in their support of recent grads. They go above and beyond more than most, maybe partly because it’s a smaller school and alums who are involved are often INVOLVED.