Maybe we can allow players who are too busy to "early vote". Let's say we grant a waiver to all players the first day, since it's usually random anyway. You're required to vote from each day henceforth. If something comes up and a player might be out for a few days, they can choose to "early vote" and PM their vote, or even their next 2-3 votes in advance to the mod.
I'm open to anything. I admit the "lay low" tactic is used often and I've used it plenty of times, but if you have 3-4 players who are both silent and never vote, it starts to dampen the spirit of the game in my opinion.