I think it's quite fitting that they leave sex for another moment, when Harry is much better and can enjoy it without ghosts, but I believe that they'll be ready much much sooner than five years (sexual tension, yay)
I couldn't help but research and I found info about psychological therapies. Apparently, at the start of some kinds of theraphy it's routine to play chess, scrabble or even puzzles, and the purpose is to make the person concentrate on other things and open themselves a bit. There aren't, however, references to a scrabble-based therapy (Severus is a pioneer!)