Instead of dropping out, can you take a leave of absence (e.g. for a year or two)? You can use the time to get healthier and figure out (to some extent) what you want from your time at college.

I took a six month leave during my junior year. The break helped me create and test a treatment plan with my healthcare providers. It was also a good chance to de-stress and think about what courses I wanted to take when I got back to college.

I understand your hesitance to take a break from, or possibly give up a spot in, a top university. From what I can gauge from your post and my personal experience, I suggest taking a leave of absence, working on your mental health, and deciding what kind of coursework/subjects you want to focus on. College is challenging enough for people without mental health issues.

I think focus and not overburdening yourself with regard to your studies is important. Having focus, even if you're not sure that your chosen subject is what you want to pursue for the rest of your life, will reduce a lot of stress (at least from my experience). There's always time to switch career paths or pursue further education later. A lot of people do it. Pursuing an "open-ended" degree, like computer science, economics, and biology might also help you branch out later. These fields intersect with and extend to many other fields.

Good luck and keep us posted!