to the OP: when non custodial parents are part of the financial aid determinations, it gets unpredictable. Also, you, individually, are limited to about $5,500 a year in loans – you cannot borrow the rest yourself, and your parents would need to get loans themselves. In a low income situation (and even middle and upper middle class), that is a dangerous strategy to borrow significantly (you seem to be imagining $25,000 a year or or more in loans).
Get both parents to cooperate in running the Net Price Calculator for some of your schools – you can use your College Board account to access the NPC and save your data, and change which schools you are running it for. The NPC will estimate how much in grants and loans you will receive, and how much you are expected to contribute. This is ESSENTIAL to get a handle on now. Every spring, students come onto College Confidential stunned to discover that they cannot afford to go to the favorite schools. Please spend time figuring out the financials, and build your list from there.
Ivies – Columbia, U Penn and NESCAC schools – Amherst, Bowdoin – do not give merit aid, only financial aid. NYU is famous for giving poor financial aid packages. Public universities such as Maryland and Penn State also are known for not giving good financial aid packages to students who are not from their own state.
Start identifying your safeties – schools you will be admitted to and can afford to attend. If you are from New York State, those would naturally include some of your own public universities. Run the NPC for those and see where things stand – again, with noncustodial parent finances in the mix, financial aid is unpredictable.
Then, consider schools where you might qualify for significant merit awards, and whether those schools allow a students to “stack” merit awards on top of financial aid or if the merit awards reduced the financial aid award. I would be particularly concerned about the outside $10k scholarship you referred to – if that is a merit award, often schools will reduce your financial aid package by that amount, though some reduce the loan package rather than the outright grant portion. Please spend some time reading on the Financial Aid board, some of the “sticky” threads which go through financial aid basics.
Rather than build your list from the top down, start from the bottom up, focusing on financials.