OK, I have a new rule suggestion:
If the person who is supposed to move or disprove (not suggest or accuse, of course) does not do anything within 2 days, it should be done automatically.
Only problem I see with this is that a player may have a strategy ruined, such as:
If they can disprove with 2 cards, they may want to show a specific card.
If they want to move to a specific room, you may move them elsewhere.