OP, I don’t know what the timing is for applying, but check out programs like A Better Chance and Prep for Prep. They have some great resources and many schools coordinate with them to work with their students.
Because you need a lot of FA, cast your net a bit wider. The list @DrPrimo provided has some other options on it you may also want to consider.
You look like a strong candidate, so give this your all! I also hope you are taking the tests for the NYC magnet schools so that you can consider those as well.