Okay, I found the document I was looking for (in the wrong folder on my hard drive).
The standard roster for the Police Cutter has a crew of 98 (104 with Plus-refit), with 13 officers and 4 or 5 Chief Petty Officers. Here's the list of officers:
OFFICERS:
1: Commander == LtCmdr
2: Exec Officer == LT
3: Operations Officer == LT
4: Intelligence Officer == LT-jg
5: Science Officer == LT-jg
6: Weapons Officer == LT-jg
7: Chief Engineer == LT
8: Assistant Engineer == LT-jg
9: Ship’s Surgeon == LT
10: Physician’s Assistant / Registered Nurse == LT
11: Chief Shuttlecraft Pilot == LT-jg
12: Shuttlecraft Pilot == LT-jg
13: Tactical-Team Leader == LT-jg
Ensigns (O-1) may fill LT-jg (O-2) billet.
CHIEF PETTY OFFICERS:
1: Bridge Operations (Nav/Helm/Comm/Sensors)
2: Engineering
3: Weapons
4: Shuttle Maintenance
And perhaps one of the following:
5: Ship’s Maintenance / Damage Control
6: Tactical Team
7: Medical / Corpsman
8: Lab Tech
One Chief will be a Senior Chief Petty Officer and be the Chief of the Boat (CoB) in addition to regular duties. All enlisted "issues" go thru the CoB before going to the Exec and/or Captain.
A word about the Tactical Team: police boats do not (normally) carry Marines, but rather have police personnel who are trained in boarding proceedures. They are cross-trained and will rotate every 90 to 120 days between being on the Tac-team and regular crew.
The deck plans have 14 officer suites (two-room quarters), 8 chief lodgings (one-room quarters w/ private lav), and 88 enlisted quarters (44 pair of one-room quarters with a shared lav between them) for a total of 110 beds. There are 40 additional beds (24 in junior enlisted quarters, 16 in barracks) for expanded crew, but some of these compartments are often converted to something else (e.g., extra storage, a hydroponic garden, VIP quarters, etc, etc).
I'm sure there'splenty of ways one could run a Prime Directive game off that list.