I haven't found any info about when to expect the pilot to air, but I'm looking forward to seeing it.
The Last Policeman: Existentialist Sci-Fi Comes to TV
NBC Nabs ‘The Last Policeman’ Sci-Fi Cop Drama From Ben H. Winters & Neal Moritz
In case you missed it, here are my reviews of the first two books of the series:
The Last Policeman