I've heard of something called 'ocarina', it allows codes to be run on the wii for whatever game. How can I put this? It's like an action replay but for the wii. You put the cheat codes in ocarina and enable them when the game is running. I found this, Gecko OS -> Gecko OS - WiiBrew
That can be downloaded from the homebrew browser or you can download from the website and put it on whatever external device holds your homebrew stuff.
Wiicm - WiiBrew -> that is another one I found that helps you manage codes. I haven't tried using codes for that game you have, but I have made codes work for my animal crossing game. Good luck.