What trim piece are you going to use for the edge of the tile/drink rail?
I have two pieces. I got them both from the same lumber yard as I got the bar rail from. One, which I plan to use to hide the edge of the tile is a simple 1/4"x 3/4" (or maybe 1", I forget) oak piece and the other is a rounded over oak piece called "drip edge" to go on the back side of the inside stained piece of wood. All together it will make a drink well to set glasses before serving. It's hard to explain, but you will see once I get them up and get some pictures.
In the meantime, this is from the site of where I got all pieces. The only difference is that I built cabinets underneath
Notice I'm ignoring carboranadum.