Why would Blair think that they would continue living in New York after marriage to Louis?

Of course they should have talked about this in depth beforehand, but I thought it was strange how she said their child would go to Constance St. Jude - if Louis is the prince and the heir to the throne, wouldn't it be practical for them to live in Monaco after the child is born? Was Blair going to finish college and Louis fulfill his duties while living in New York?