As I stated, this clearly isn't the case in NYU vs Baruch. Why even go to NYU. Go to MIT or Stanford then. I doubt that NYU can match their reputation anywhere.
How about studying at Baruch at dirt cheap rate, work in NYC, pay-off you relatively small student debt, and go to Asia/Europe and show that you actually know how to do that stuff.
Regarding Europe, I doubt they'll give you any preference to a NYU guy. As a matter of fact, Europeans, particularly continental, are NOT brand hungry like Asians or Americans. If you mean UK, they already have lots of kids with finance degrees from top programs such as LSE's, Oxford's, or Warwick's.