Then you could skip the pool of water, and just pipe the heated water
to the end of the stirling engine.
The stirling engine exhanges the heat between the hot and cold pipes
in order to pump the cylinder.... which drives the generator.
A hectare of black pipe is more exxy though.
A lot more practical though.
If you could use the hot water rising to move the water through a grid
of pipes, spread over a small incline bank to keep hot water moving to
the end of the engine, and the cooled down water coming out of the
engine back into the pipes for more heating.
A pool of water could keep it running at night by storing heat.
The cold end might need the cool water pumped with a small motor.
A small prototype using Alkathene pipe might be a start.
A second prototype could use an insulated tank of water to keep the
engine running overnight.
Herc