High School...now what??? ER/AM career?

I currently attend a high school in Arizona (current Junior), and I'm interested in entering the PM field (in particular the HF industry).

Hear me out. I know it's borderline stupid to set one's mind on HF or PM when you're only in high school, but honestly, PM is the only industry I see myself entering and finding the job intriguing. So I figured I'd plan ahead.

With that said, I have a few questions regarding my next steps. Please feel free to answer any of them.

I believe I have a fairly decent shot at any of the target colleges due to very strong EC's, demonstrated interest, solid test scores, and summer programs. I'm planning on studying some combination of Finance and Computer science, Finance as the primary.

• Out of all of the colleges on my list (MIT, Upenn, Harvard, Columbia, Stanford, UC Berkeley, Yale, NYU, Duke, UCLA, Princeton), which are optimal for an undergrad to exit into an IB/HF role?
• Looking at most of these college's courses + majors offered, most of them don't offer Finance as a major, rather Economics or Economics with an emphasis/concentration on Finance (which is totally fine). However, none of the colleges seem to go as in-depth in financial markets/instruments as MIT or Upenn (probably partially because they offer Finance as a major). Is that significant? Is there an advantage to majoring in Finance vs Econ? Advice from alumni of any of the colleges would be appreciated.
• If I intern or get an analyst position for ER or IB during undergrad, will it be easier to find a HF job out of undergrad?
• How strong is California for HF? Boston?
• How important is it to obtain an MBA in the AM world? Versus a CFA?
  Thank you!