Cream teas with just me and a book are always highlights of my trips to the UK. I refuse to be sad about being solo.

With regard to the play, I recommend showing up an hour or two before they release that day's tickets. I'll admit it's been awhile since I've done that, but I never failed to get tickets for the show at a decent price. If that doesn't work, go to the theatre before show time. There may be people selling tickets, and the value of a ticket drops as curtain time approaches. Be a bit willing to play chicken.