I think it depends on what other interviews you have. Do you have enough that you feel comfortable using one of your interview days on Columbia?
If you really want to be at Columbia, then I would go for it. However, everything I've heard about Columbia, both on this board and outside of it, suggests to me that they end up with most of their spots filled with their own med students.
If you have other NYC programs to interview at, or aren't too set on ending up in NYC, I would agree that Case is the better program for maximizing your chances at matching.
Pick the program you won't regret not interviewing at. It sounds like you have a tough choice...good luck 🙂