I didn't outline the board in black after all --- I decided I liked it best unbounded.
Also decided to paint the notation letters and numbers with the same green as the dark squares instead of using black marker.
I gave it 3 coats of polyurethane, and had to keep it outside in the porch for a couple of days til the smell abated.
It's not perfect, but I like how it turned out. And now I am ready to play some chess!
My Isle of Lewis chessmen. Aren't they cool?