U Miami is a reach (< 30% acceptance rate), and Vanderbilt is a high reach (<10% acceptance rate).
Neither are full need met, and it is unlikely that you will get enough financial support from either to bring your annual costs down to $20,000 (especially Miami).
UBC and U Toronto, however, are likely matches.
Columbia and Yale are extremely high reaches, especially for international students. If you are from India or China, they are even higher reaches (they accept no more that 2%-3% of the students who apply from these countries). Pomona is not much better.
Apply by all means, but we’re talking lottery-ticket chances for these colleges.
All that being said, there are good colleges in the USA where the chances of international students for admissions are better.
However, to be perfectly honest, an international student who needs financial support is going to have a difficult time being accepted to any colleges which can afford to provide the level of financial aid that you are asking for.
Only Harvard, Yale, Princeton, MIT, and Amherst are need blind for international students. That means that at every other college in the USA, your requirement for financial aid will count against you.
Again, by all means apply - your profile is good enough that your chances of being accepted are non-zero. However, they are pretty small.
A way to increase your chances is to apply to colleges which have fewer applicants, but which have good financial aid for international students. You may want to check out Skidmore College and Trinity College for that. They’re still reaches, but not less-than-3%-international-acceptance-rate reaches.