Transferring to NYC Area

When I first entered college, I had no idea what I wanted to do. I knew I was good at classes in STEM areas but not much more than that. After my first year of college (I attend the University of Michigan), there is a dilemma. Between

As I see it, my options are:

  1. Stay at U-M for three more years to get a degree
  2. Go to a cheap state school within commuting distance of NYC where I can study for the full four years

I am asking