If I understand correctly, there really isn't any way to do this. The reason is that, in your particular setup, your Overall Score formula is what really determines the player's ranking.
We should call this "ordering" really, so as to not confuse it with a player's "ranking" for a particular tournament. For your Stats, you've created a formula that will create a value for each player. The higher the value, the better the player did overall. After a value is determined for each player, you can see how the players are ordered based on that value. It would be then, after all of the other computation has been done, that you then assign a rank (or order) to each player, and then compute the player's bonus chips. I think you're going to have to do this by hand...