I really like the whole day in London idea! If it's too, much, there's a variety of things, that sound planned out, and there's various bowing out points, for either of you! Various cities, are like that, where when you go, you just want to spend the day there, Boston, is one of those cities.
About the height thing, perhaps, she'll just figure it's been a while, since you were given your height? ((similar, but the opposite here, was told 5'9", but gosh, closer to my 6'))
Hope all goes well!! Rooting for you!!!