I'd definitely contact the admissions office, if you haven't already, and explain your situation. It seems that others on these forums have had success in negotiating more financial aid, and I'd imagine that there would be some degree of flexibility as some students will decline the offer. If nothing else, they will be able to tell you about the various scholarships available to matriculated students. Just glancing at their website, I see a number of scholarships and grants listed, especially for second-year students. There is also a housing scholarship for female students. I'm sure these scholarships are competitive, but it's something to keep in mind...
Congratulations and good luck! I've heard great things about NYAA and I'm sure it will be a wonderful opportunity if you can work things out financially.