Do bear in mind that the career services offered to Langone students through the CCWP are not exclusive to part-time MBA students. All NYU alumni (if I understand this correctly) have access to the CCWP.
Furthemore, NYU doesn't disclose any recruiting statistics related to its Langone grads and by its own admission claims that the full-time program is more suited to career changers.
Moreover, have you looked into how long it would take you to complete the program? For instance, a typical weekend only schedule would last 2.5 years, cost about 60,000$ and require you to sign away most of your weekends during that period. That's a pretty intense schedule to keep - especially if as you say you're looking to get married within the next year or two. It's obviously an ever bigger commitment when you're looking to make the move from Systems (back-office) to S&T (front-office) since you'd have to put in a lot of extra effort into networking and recruiting etc.
Figure out why you want an MBA. If it's truly to switch careers, then there's no point in trying to "game the system" and applying to NYU Langone instead of Stern full-time because it's easier to get in. The admissions committee will figure this out - the fact that you like New York and want to stay here isn't an entirely convincing argument on its own.
Work on getting some leadership experience, perhaps take some classes to make up for your GPA, and apply to a full-time program of your liking.
And no offense, but unless you have some stellar extracurricular experience you haven't disclosed, you're severely underestimating how selective Darden, Cornell and Duke have become.