This wouldn't work unless you had a special mechanic. Because the character might not remember what he did, but the player will.
It would be pretty easy to do. Just have the whole thing done in the form of a flashback. Every day/level starts with the character waking up from a binge and you have to figure out what he did the day before. However, once the investigation gets to a certain point, the character blacks out again and wakes up the next day/week/level.