Please allow me to make it more clear for you. Your original question asked for a good list of OOS public schools for a White person from NY with average to slightly below average stats. The simple answer is that there is no such thing.
EVERY public school favors its own residents. You are lucky because you have 4 public schools to choose from in NY. Some states have none, or only one. You are unlucky because you are not low SES (are you?) and not otherwise eligible for an admissions preference.
OOS public schools are not the answer you are looking for, They will tend to be around as expensive for you as a private school, because you will not receive IS tuition. They will be more difficult for you to be admitted to than many private schools, because you will not receive an IS admission preference.
Why are you focused on public schools? With your stats and profile, you should be looking at mid tier and below private schools, in addition to the NY public schools, as well as DO schools. Good luck!!!