I would kind of like to know how you plan on doing this as well.. Since you brought it up and all.. As of this point we have 19 players out of those 19, 4 are on mafia teams leaving us 15 townies. Which gives us a little less than a 1 in 4 chance of hitting a mafia. (21.05% if you want me to be exact).
I personally plan to play like I always do which is to let day 1 be day 1 and then go back and see if I can see any trends etc from that day.
Firstly, by actually taking it seriously. Folks always like to have fun and goof around at the beginning, which is fine, as there's not much else to discuss early on. But when someone says 'Chill dude, Day 1 is just a throw-away,' I notice.
Chances are extremely high that an innocent will be lynched on Day 1. Not treating the day as 'irrelevant' is the best way to lower those chances.