What file or files do you have for the game, including there extensions?
What homebrew do you have to run GameCube games?
What Media are you running from? DVD? HDD? Flash Drive? ect... and what format is the device (applies to Flash Drives and HDD)
HDD is the best option to use.
The Homebrew Channel is not enough to run GameCube or Wii games, it mostly just gives access to other homebrew
ModMii would of given you almost everything you needed, but even then you will want to update a couple of things after and grab GameCube running homebrew