I think I rather not have a voting system as well. It feels rather natural rather than a reality TV show of "Survivor." But, to kind of replace this system, there needs to be some form of urgency and stress that will give characters something to think about when being around others. There needs to be something to set the tone for when we play in the mansion and to challenge each character's personalities and trust with each other. 

Perhaps like in the 999 series, (I know. I keep referring to that game/story, but I believe it's a damn good novel game), people had some sort of urgency to complete a task like escaping a room, (solving puzzles to open the door). The story had an overall time limit like 9 hours to escape from the whole ship. It was with the upmost urgency that they escape the sinking ship within 9 hours or else everybody dies. They all try to escape, but certain circumstances / personas may alter the story line in some form or fashion. 

It's just a thought. I can't wait for the remaster of the series next month. Woo!