Why not use a Wii U to play the games?
That will give you a direct HDMI signal.
You will have to rip the games on a Wii though to play them, because the disc drive of the Wii U can't handle Gamecube discs.
And you will of course also have to Homebrew channel the Wii compatibility mode of the Wii U.
But then you will even be able to play games using Wii U pro controllers wirelessly.
|