Seems that NYU Courant does not allow international students to find internships during the first two semesters. Would that cut into the possibility to find a good summer internship due to lack of work experience?NYU MathFin is more inclined towards research and strategies making it a suitable choice for you.
All in all it's more hardcore and selective than Columbia MFE, plus a stronger career service (smaller applicant pool and resume books being sent out).
Just my $0.02