I like this. I've been getting back into chess as of lately and I keep a board on my desk while I do work on my laptop. Here's my strategy for playing 'solitaire chess' as I call it - I make a move, then I move a poker chip to the side whose turn it is, I go back to doing whatever I was doing on my laptop for a while (until I forget the game entirely), then I return and make another move. Then I rinse and repeat this process until the game is over - it's amazing how rapidly this improves your strategy compared to playing against another person or a computer. Because as they say - you are your own worst enemy... Or most brutal competitor as I like to think ;)
You'd want to be careful with that, Stefan Zweig has a novella about a guy playing chess against himself in his head who loses his mind! http://en.wikipedia.org/wiki/The_Royal_Game