Originally Posted by
roberto99
OP, you are arriving in RUSH HOURS!!!
Trains beyond will be more than packed! Room for any baggage will be impossible. Taxi prices are ridiculously high. Hotels will not check you in until 15:00.
I suggest taking another flight.
Thank me later.

Oh no! If only I’d seen this in time.
Last August I was on JL42 (LHR - HND) which arrived at exactly the same time as BA7
As a group of 4, we went down to the Grande Aile for a buffet breakfast then took the monorail to Hamamatsuchō station. From there we took one of the two waiting taxis for the short hop to our residence. Comfortable, convenient, quick.
We knew that there was building work going on on the Takanawa side of Shinagawa station which was affecting the area empty taxis can occupy, I’m assuming this is still the case.
Next week, MrLapLap will be on BA7 willingly repeating the experience.