I understand wanting to get away. But there’s really no way for you to go to college in NYC without their support. The cost of living in NYC is really very high, and you don’t qualify for resident rate tuition at a CUNY school. Frankly, most families with an income of 200K would find paying for Fordham to be a sacrifice.
As another responder has said, the UT system has many excellent schools. If you have the grades and scores to get in, you might find that UT Austin has some of what you’re hoping to find in NYC. And depending upon what you study, you might wind up in NYC for grad school, or for your career.