At which top universities can I be the least well-rounded?

“If you give a man a fish, he’ll eat for a day. If you teach a man to fish, he’ll eat for a lifetime.”

Go look up the curriculum/graduation requirements at each of those schools - I did the exact same thing 10 years ago (except for me it was Biology and Classics, not physics and math, so even though I wanted a science and humanities, some schools wouldn’t allow me to focus all my humanities courses on ancient greece/rome, others would).

You want to be a scientist, right? Get used to reading and researching.