I don't necessarily think the playing of it would be that difficult, because even if only one person has the "body" the other two can snark inside their head and sometimes even take control of the throat to speak (or just take over the body completely and become the dominant aspect), so there's kind of built-in threading and such. The problem would be the coordination, yeah. I don't think it would work well to be RNG'd (potential scheduling, possible squick, etc). If it were allowed at all, either one person across three characters, maybe, or three people would have to agree beforehand and sign-up as it were--which negates the RNG aspect.

I will continue to ponder--and solicit ideas from other folks.