Three? Is this an only 8 person draft? I'm guessing you can get more than that, especially with the time you have before the music draft will even be over.
As for expansion packs, allow them without a prerequisite of having the game that requires them to be played. We'll just pretend on our island that expansion packs are magical and load the entire game into your machine.
Chances are that the only expansion packs that will be drafted will be huge favorite over the original games so there won't be this battle over who can get the first part and then who can subsequently get the expansion pack.
Also, I am still confused on what you decided with your console per system whatever it was rule. I still think the rule you have in place is pretty bad, and games should just be taken by name and not system. This is how it is in every other draft.