After thinking about it for a while, I realized that the best way to make the board was to simply create a walnut and maple cutting board. Buy gluing up strips of maple and walnut I was able to cut strips off of that and reassemble them into the classic chessboard pattern.
I originally thought of turning these on the lathe but quickly gave up on that plan, as I lack the skills to do so. But I am a huge fan of modern art and minimalist objects. And started to do some research and eventually came across a set created by Lanier Graham in 1966 and fell in love with its simplicity and really enjoyed how all of the pieces fit in a tiny little box.