NYU is also need blind for internationals, but aid is given on a need-aware basis. NYU has a reputation for giving poor financial aid.
If you have the funds and time available, no reason why you cannot apply to any number of lottery ticket schools. Just understand precisely what your chances are.
If you are serious about higher education, look for affordable options. In your own country, perhaps, or other countries where higher education does not cost as much. Do your research.
If you want more realistic choices here in the US. There are literally thousands of schools where you would be a stand out student, a good catch. Do the research as to which ones might give you enough in awards to make it possible to attend. You need to show your ability to pay for school and support yourself to get into this country with a student visa.