I have come closer to finding out to when Death of the Senses takes place.
The year is 2003.
Evidence: Page 350, "To his dismay, the shot the paper had used was from four years before, his mugshot following his arrest for vehicular homicide."
The month is either January or February.
Evidence: Winter month.
One of the days is either January 18 or February 16.
Evidence: Both of these date were when the moon is full.
I apologize if this seems rushed, which it is.