When I first read your initial post, I thought you were inquiring about operational checklists such as getting underway, anchoring, entering port, etc. But then I thought about your single screw and engine comments. So, now I THINK you are interested in the "whole schmear."
Coming from the surface Navy, I can identify with operational checklists as well as maintenance plans - note the difference of "checklist" versus "plan." Within any good maintenance plan there are a potential myriad of checklists for the individual maintenance actions, and those and their frequency, of course, come from the equipment manuals.
Considering the delivery of the new-to-you boat, one of the most frequently heard problems here over the years seems to be fuel delivery problems, AKA, clogged filters, especially if the vessel gets rocked about a bit. Carry spares and know how to change them and then reprime the system.
I used to own a 42-foot Grand Banks, and when I first got it, I was still on active duty and spent a few minutes thinking about the underway, mooring, storm mooring, and heavy weather checklist idea, I even committed them to e-files and may have actually printed one or two, but I soon realized that the mental exercise in creating them was sufficient to commit them to memory. Checking steering and throttle and gear shifters and ensuring all shore connections were clear before backing out of the slip seemed to be simple enough for me once I had looked in the bilge to ensure we weren't sinking. Engine oil and coolant levels were always checked after mooring the boat.
If you have not been shipmates with a bow thruster before, they can cure a lot of ills in shiphandling a single-screw vessel. I commanded a single-screw vessel in the Navy and would have killed for a BT. You can use it as a rudder when backing down a long distance.
