Heat pipes are used in some automotive components, but quite rarely, and pretty much always with electronics. The main reason is cost, so typically the casing is used as a heatsink for heat generating components.
The working fluid in heatpipes is designed for that 20-80C range or so, typically just water. Engines are generally too warm for that, so the heat pipes would always be saturated and you might as well just use copper directly.
Adding surface area certainly won't hurt an air cooled engine, but I think the other suggestions are worth looking into. Forced air, cowling, or adding significant mass to the fins sound better to me.
Doing some sort of water jacket, adding a pump and radiator is also an idea.
Some quick searching does reveal the existence of high temperature heat pipe solutions. But these seem to be for high temperature industrial processes and power generation. Well above the temperatures an engine would normally experience.