I presume he meant cranked but didn't fire. That usually happens when the corrosion gets bad enough that the exhaust valve is failing to seat cleanly, but can also be a symptom of low compression from other causes or air in the fuel system or injector or injection pump problems. If it starts in hot weather but not cold, the compression is marginal.
"The head was sent to a shop who pronounced it dead on arrival thanks to corrosion, clogging, etc so it was tossed out."
Uh-Oh. I hope the previous owner stripped the rocker assembly, injector and pre-combustion chamber from the head and kept them before sending it off. Otherwise its all extra costs. The next thing you need to do is have a good look at the cylinder bore with a good light and an inspection mirror and the piston right down at BDC. If you've got a friend who rebuilds any sort of engines, get them to take a look. If its got more than very light traces of flash rust (that just wipes off) it will probably need honing + new rings or even boring and a new over-size piston. That's a job for a specialist.
Not running the engine much wont kill the head. However sailing downwind in heavy weather without some way of stopping the exhaust flooding will. As I am not a purist, I frequently find it more convenient to run the engine rather than stuff a foam rubber ball on the end of a cord up the exhaust outlet in the transom to keep the waves out.
As my marina is fairly deep with pontoons on piles, I am able to run the engine in gear at full throttle in the slip without the wash causing any problems for anyone. If I haven't given the engine a good run recently I try to run it up to around 80% for half an hour continuous every month or two. That is long enough I can be sure everything reaches full operating temperature, it helps dry out any condensation in the oil and does a lot to control cylinder wall glazing. A good run at longer intervals is far more beneficial than short runs more frequently.
If you are in winter freeze territory, winterize properly and leave the engine at TDC with the exhaust and cooling hose disconnected from the injection elbow and its interior sprayed with anti-corrosion oil and seal with tape and plastic with a fresh non-corrosive dessicant sachet stuffed up it. The air intake also wants sealing + a dessicant sachet.
Treat the injection elbow as a wear part. It tends to develop pinholes where the injected water hits the inner tube. Inspect carefully annually.