I guess the same way you have the team on next reffing, you could also have the team who just played reffing. But that has the downside that if they are wound up after a game (for whatever reason), they won't have their mind on it.
Don't think it's a better solution, just different.
I considered this also, but discarded it for the reason given above. People are generally much more emotional after a game than before.
I considered this also, but discarded it for the reason given above. People are generally much more emotional after a game than before.