High level, this is the sort of thing which can be tough to combine with larger colleges just because they tend to have to be more structured in terms of who is majoring in what from an earlier point. Not impossible, and some larger colleges are easier for what are sometimes called “internal transfers” than others (like, Pitt is not so bad for that). But the most exploratory schools tend to be at the more medium sized, and many are actually small LACs.
And often the medium sized ones are tough admits. Like, Yale and Brown sound great for you, but those are hard admits. Definitely apply, but you logically should want some solid alternatives. Similarly, you are also looking at a lot of Boston and California schools, and those also tend to be very hard admits relative to peers just because those are such popular locations. Again, not saying you can’t apply to any, but it is helpful to have alternatives that are neither Ivy+ nor in Boston or California.
Case is a solid choice, though, for getting outside that box. I think in some ways Rochester is even more in the Yale/Brown family and has a curriculum structure designed for exploration. Wake Forest is another like that you might want to consider. Marquette might be worth looking at.
As a final thought, I think a lot of people interested in consulting and IB get a little obsessed with getting into the most selective positions for graduating college students, which even at the top few business programs (Wharton and such) only a few people actually get. But you don’t have to do it that way, you can do things like get a normal job in a real business, work for a few years, and then if you are still interested, do something like an MBA and move into consulting or finance then. But a lot of people stick with real businesses at that point, because real businesses can be a lot of fun and very rewarding.
So it is up to you, but I would personally choose my college more for it being a good place for your biology/bioengineering/neuroscience/public-health interests, but also being good for exploration of other options. Then if you do decide to go into business, having a solid undergrad education in something interesting, and then an MBA or whatever down the road, will probably work out well anyway.