Long Island has multiple schools excellent. But remember Long Island in Nassau county is most racial segregated by town surburb in United States. Make sure you know then.
Example
Great Neck - Chinese
Oceanside and Merry - all white. (Catholic and non practicing Jews) upper Mille class
Valley Stream, Roosevelt, Hempstead and Freeport nearly all black
Rockville, center, garden city, manhasset rich white
Five towns Orthodox Jews
Hicksville Indian
Island park - blues collar white
And so on and so on
Any school in an upper income white or Chinese neighborhood is good.