CUNY Macaulay Honors College at Hunter college.
Free tuition, stipend for travel related to research/internships.
In past partial dorm costs in scholarship (not board).
Hunter is good for liberal arts, teaching, not as broad as BU (where they have Physical Therapy,
Hotel Management etc). But you have to pay much more. There are other campuses of CUNY but most do not include the dorm, and even at cost, no dorm with honors students, and most others commute. Hunter with the Macaulay Honors at least gives the fresh/soph dorm experience, but not on other CUNY campuses. In general, NYC is very expensive, and Boston these days similarly, so if fin aid is important, then your goals of big city and lower cost may be somewhat incompatible. Maybe shoot for smaller cities with schools of interest where COL is lower, and it’s possible for more merit.
Unfortunately these and similar schools (like George Wash, the closest equivalent in DC) are need aware, and might even reject a student because they have significant aid needs. Some deny it, some admit it, but it is true. They have something other colleges do not have, Boston, DC and NYC… There are lots willing to pay to be in such places.