Agree with comments above.
Couple things I would like to add: First, for the most part, the informational interviews and coffee chats are done mostly with the alums of your school and they are aware of the logistical issues you might face in getting to NYC. At Fuqua, first years go to NYC on a Wall-street Trek and most of the Fuqua alums in banking are at our disposal that week and we can schedule interviews with them, even during after hours.
Secondly, banking recruiting is ONLY 2-3 months long, mainly in October and November. Once the resume drop deadlines pass, you do not interact with bankers and wait for the close lists interviews. The first round interviews happen on campus and the super days are in NYC (banks cover all your expenses for super days)
As far as recruiting, Fuqua attracts all bulge brackets and most of the middle markets. The boutique recruiting will be challenging from either, especially for elite ones like Evercore, Greenhill, Blackstone who only recruit at Top5. PWP recruits at Yale, but we do have a MD who works there. We do get some boutiques such as McColl Partners, Scotia Bank etc, obviously not elite boutiques, but boutique nonetheless. Also, keep in mind that Duke undergrad alums are pretty much at every single boutique - people you can reach out too.
As far as which school to pick between Yale and Duke, I don't think you can go wrong either way. I think it should come down to which school you will be most proud of attending. I was wait listed at Duke and Yale last year and got into Duke this year in EA. The reason I applied in EA is because I felt that the fit was better. Also, I am a sports fanatic so really liked the sports culture at Duke. Lastly, I grew up in Texas and am scared of cold in North East - hopefully when I get into banking in NYC, I work all the time and don't have time to be outside