Congrats on getting in to Columbia! So did I, for creative writing.
I did happen to fill out my FAFSA and do the student profile (which I didn't know about until attending on online Q & A session the night before the app was due), and they offered some aid. However, they also offered a merit-based scholarship.
I would definitely complete the FAFSA and profile as soon as possible--but you probably already did. Also, if you have any other acceptances, try to leverage them against Columbia to see if you can secure any more funding.
Congrats again. Maybe I'll see you in the fall!