My question to you is:
If you want to work in NYC, why are you applying to schools half-way across the world?
Normally, to get an office visit, you have to impress at your on-campus interview. To get an office visit on the other side of the country, you have to impress your on-campus interviewer SO MUCH that he knows you wont embarass him if he recommends you to the recruiters in NYC. Also, I imagine there would be factors like (a) how full the NYC office visits already are, (b) how persistent your interviewer is. In the end, it would be so much easier for the recruiter to just click "no", and stop your recruitment process dead in its tracks.
So, if you want to work in NYC, man up. Go find out what the schools are in NYC that the Big 4 recruit heavily from. Email the students and career services people. Email the Big 4 office recruiters, if you can find their email address. Ask them what schools they "target" the most heavily.
The bottom line is you'll make things a lot simpler for yourself if you go to school in NYC.