@StevenPaxman, I liked your project so much I shamelessly copied it! Thank you for posting it, I showed your pictures to my wife and she pretty much demanded I make her one.
Here is how mine turned out.
I modified the base a bit so that it would be just one solid piece (with a small door on the bottom) I cut the slot to hold the acrylic in the top, then flipped the piece over and carved a slot for the light to pass through, a pocket for the wire to exit and then a .25 inch deep rectangular pocket for a base piece that I glued the LED light strip onto. Then I just press fit the .25 inch thick part into the base.