This is going to be pretty challenging. Monday - Friday, I leave for work at 8:00 a.m., and return around 8:00 p.m. In practice, though, I usually get back sometime between 7 and 8. I'll be able to make kills by such means as sneaking into Random at 7:30 and then "getting back late" at 8:15 p.m.
I'd recommend that you follow through on your idea of chronicling who enters and leaves Random. Be your normal wonderful self, but try not to get yourself lynched
I think we should use our mafia abilities early. This gives the maximum reduction to the investigator's usefulness.
And thank you Sir Godfather. It's a pleasure to have you on board!