Like I said, I am not in a rush. The LH716 comes in at 13:05 and I'll have nothing else to meet in time than check-in into the hotel for the night. Alas I can find my war around in HND (and to the monorail..) without stressing myself.
Which brings me to the point, that I need to book the first night for myself. As an IT nerd and given it's not that far from Iidabashi, my current fav would be the Granbell in Shinjuku - hopefully with good weather to enjoy their terrace bar.
before anyone screaming about love-hotels and the district, I am "trained" to walk through such areas as I am coming from Hamburg and cross Reeperbahn/St.Pauli often