It's no diffrent then any other. I did it 2weeks ago on my black wii. Make sure you use the appropriate bannerbomb version depending on what system version it came with (mine came with 4.1 and i upgraded to 4.2)
Your wii likely won't ever play burnt DVDs though. New black consoles have a D3-2 drive, which can't read DVDs. They removed the dvd video commands loaders used to play backups and there are no chips for them yet
If you plan to play burned games, get a USB loader (or buy another drive).