Yes, I've decided to go because they're funding me for the next 3 years. They're paying for most tuition, but not all of it. They offered me a position as a research assistant that covers the rest, and then there's a stipend. I also have a Fulbright scholarship from my home country, which will help a lot. New York is very expensive.
It wasn't supposed to be like this at first, but I told my department that I couldn't go without funding. Emails went back and forth and they made their final offer 2 weeks after I got the acceptance letter. Again, it's because it's a very small program. Maybe they have 2 or 3 doctoral students coming every year, but I wouldn't be surprised if I was the only one. You should really break down the cost of your education, and maybe talk to current students. I come from France, and the idea of being in debt to get an education was really counter-intuitive for me. I don't think I would've ended up going without full funding.