Thankfully Matt had the answer. Why not take a longer layover in London and stop in to see my sister and Basile? It's so crazy it just might work! And work it did. While our bags hung out in transit we strolled off the plane with no worldly possessions and on to the tube to Gloucester Square - headed towards Cockfoster's (and giggling the whole time). (Truly I don't know what came first the adult film stars or the lewd tube station names).
And there we were in Lisa's living room at 7:45am in just enough time to send Basile off to work with a quick coffee. The day was ours! Naturally we wandered around and found cupcakes for breakfast (honestly one of the few things open at that hour) and took a stroll around town before meeting Basile for lunch. I can't think of a better way to spend a layover!