Depending on how dry the summers are, it might be good to let the shower water drain into a large
compost pile.
The pile could also have coils of polyethylene pipe or garden hose in it, to
feed the "hot" intake of the shower head.
This might mean grading & lining the soil under the showerhead, before the permeable floor goes down, and digging out a composting trench (similar to the Indore method, but perhaps not lined) for the water to drain into. Perhaps plant a hedge of willows on the other side of the trench, to catch any leachate, to help with privacy, and to help feed the compost pile.
Alternatively, wisteria loves moisture, and can produce a lot of nitrogen & biomass each year. If the shower structure is built sturdily
enough, its can be trained up it provide some nice shade.
"the qualities of these bacteria, like the heat of the sun, electricity, or the qualities of metals, are part of the storehouse of knowledge of all men. They are manifestations of the laws of nature, free to all men and reserved exclusively to none." SCOTUS, Funk Bros. Seed Co. v. Kale Inoculant Co.