Staying at the Hudson Hotel..
I will be desperate for an independent coffee shop?
OK, Hudson Hotel, 58th and 8th, you're withing walking distance of Zibetto, a stand up style espresso bar. It's located on the west side of 6th Ave at 56th St.
1385 6th Ave, New York, NY 10019
Momofuku Milk Bar at the Chambers Hotel (56 bet. 5th & 6th) brews Stumptown beans, albeit not as strong as at the actual ST location inside the Ace Hotel.