Step 3: To the Tile!
Since I was using off the shelf ceramic tile, it's intended purpose is slightly different, and as a result the back is left unfinished. The gentleman at the store suggested applying a latex coat across the back for the felt feet to have better adhesion. I figured while I was at it to try a clear coat across the top as well to protect the vinyl. This part might be entirely unnecessary, but since it was a gift I opted to experiment... for science.
Stick the felt on!