Along the lines of what everyone else has been saying, a degree does not define who you are and what you become. In the end, what matters most are the experiences you've gained.
Perhaps supplementing your education at your school with work in a nearby company -- there are certainly plenty around New York. Look around for internships or volunteer work -- just get your foot in the door and learn something.
I went to a school with hardly any tech program at all, so the few tech kids had to learn to do everything. For the ones who wanted to costume design, it was a bit begrudgingly that would Stage Manage a show or design Props; simply because they needed the credit and their dream position was unavailable. However, I took advantage of as many different positions as I could, since Stage Managing takes knowing a little bit about everything in order to solve problems.
So look into places in the area. Who knows, it may lead to more work down the road, with that company or with another. Remember, this is an industry as much about WHO you know as WHAT you know.