Texas is a HUGE state. The Texan schools are phenomenal and they are all different and far enough away such that you can find whatever you are looking for in Texas.
Go to a school in Texas that suits you.
If you want to move after your college graduation, you can send resumes to jobs in NY.
Everything in NY is expensive-Travel, Rent, work, food, living, etc. No one can force your parents to pay for your college expenses. Scholarships are often limited to athletic recruits or certain specific needs of the university. Not easy and not a done deal.