You'll need to point your browser to the Yahoo Games site (games.yahoo.com) and from the many options choose "Literati." Once you log in, you will be given a huge list of rooms with strange names... ignore them. At the top of the list are 2 tabs marked "Normal" and "Ladder" Click on ladder. Pick a room to play in, and announce in chat that you are looking for a Case's game.
The game itself plays pretty much like Scrabble (tm) with just enough differances to keep Yahoo from being sued.
At the end of the game, the loser reports the loss to Case's. Good luck to ya!

-Neko