ShuffleBag solution on multiple objects?

I’ve been looking for a solution to the ‘too random’ problem.

I have a multiplayer game where players will mine asteroids, and the asteroid will instanciate a ‘random’ ore type.

My question is, how can I use a Shufflebag aproach, with multiple players on multiple objects.
(note: I’m open to any solution that’s simple and effective, and not heart set on using shufflebag if a better solution exists.)

I think this will give me a good place to start.