With such a tight turn, I would opt for a hotel in the vicinity of Tokyo station, such as The Peninsula, FS Marunouchi, Mandarin Oriental or Shangri-la.

Otherwise, Grand Hyatt does have an excellent location, and I prefer the Roppongi Hills Complex over Midtown (Ritz-Carlton). For me a huge plus about this location is that it is within walking distance or a short cab ride away from many of my favorite restaurants in Roppongi, Nishi-Azabu, and Azabu Jyuban. The open air design of the complex and parts of the Grand Hyatt is very nice.