1st idea:
What about a continental cup including national cup champions?
This seemed to be a sort of "2nd division" cup, only continental...
The 4 continental winners could even play a "final four".
Championship champions could still being in BBB and allowed to play against managers from all over the world, as it is in these days.
So would it be an every other season sort of thing? For example, if this continental cup were held in Season 30, would there be BBB in Season 31, but no CC, then in 32 there's a CC, etc? Or would the CC run at the same time as BBB? That would probably be too many games in a given week. I like the idea, but I'd personally rather have some sort of international tournament for Divisons II and III first (partly because that's where I stand at the moment).