Congratulations on a strong record 
Top colleges really want lower income, top students with rigorous academics to apply so your application will be scrutinized but with benevolence and interest.
Perhaps look into Harvey Mudd if you like Fu’s mix of strong Engineering and liberal arts.
What about Lehigh and Lafayette -both meet need (should be cheaper for a very low income students than Rutgers, because they take transportation and personal expenses into account when calculating financial aid) and are a bit easier to get into than Columbia and others on your list.
Are you recruitable for athletics at the D3 level?