Until I hear that your family is good with paying $800k for your education, I’d be looking for really strong institutions where merit is a possibility (even if a very slim possibility).
I stand by my recs from earlier, but would add in places like:
Rice
Vanderbilt
Washington U.
U. of Southern California
Carnegie Mellon
Duke
John’s Hopkins
Swarthmore
There are no guarantees you would even be admitted to these schools. But, if you were to be admitted, I suspect you might be considered for some of their merit aid. And saving $100k to $400k is absolutely nothing to sneeze at, and these are very strong universities.
Some places that offer both cognitive science and neuroscience majors that I think would be even more likely to give you some nice merit aid are:
Vassar
U. of Evansville
Scripps
Pitzer
UT-Dallas
U. of Delaware*
Lehigh
Claremont McKenna
Rensselaer Polytechnic
Case Western*
NYU
Indiana U.
I know you’re not merit hunting, but I’d take a good look at these schools. If there are some on here that excite you and you like the course offerings and programs and research opportunities, then I would give most of these the go-ahead over schools that don’t offer merit aid. You’re an incredible candidate and I think you should at least look to see what kind of opportunities appear for you that accompany some significant merit aid.