Paying for College

Hello,
I’m currently finishing my junior year in high school and i’m already starting to look at colleges. I really want to attend a college in New York. I’m currently looking at School of Visual Arts for graphic design but i’m not quite sure if that’s even an option because the tuition is so high. My parents are basically making me pay the tuition on my own so that just makes the decision for me even harder. If i’m not attending SVA, I think my other choice would be Fashion Institute of Technology since they also have a graphic design program. So is it possible for me to pay for SVA all on my own? And if so is it worth it?