Your high school guidance counselor is going to have to send your final transcript to the college you end up going to. The GC signed the ED agreement and knows you’ve been accepted. If you commit to going there and then go back on that commitment, so you can go somewhere else, you’ve put your GC in a very bad spot.
Bottom line - don’t do this. Either accept the NYU offer and withdraw your UC applications, or tell NYU that the finances won’t work and decline their offer.