Hi Rebecca,
With a cost constraint of $10,000 and your statement that your mom makes too much to qualify for a lot of need-based aid, you do not have any safeties on your list.
Syracuse will not meet your need
UCONN will not meet your need (OOS tuition)
Not academic likelies, they would be reaches.
Uof R
Boston University
Cornell
Albany
Bing
Your safety will be a SUNY that you can commute to from Long Island.
While they may not be financially safe options, consider going off the grid
I would recommend going off the grid and looking at Plattsburgh & Geneseo (data analytics), which are all amazing schools.
Marketing: Oneonta, Brockport, Fredonia (check to see if you can get merit from them)
take advantage of October being free application month at SUNY and CUNY . You will be eligible for 5 free SUNY applications ($250) and a CUNY application with 6 colleges ($65) savings.
In addition, there are a few NYS schools that are waiving their application fee for NYS residents if you apply this month:
https://www.hesc.ny.gov/cam/nys-colleges-waiving-application-fees.html