Wet suits from the kayak club were actively sloshed in warm water with some bleach in it, then thoroughly rinsed. The bleach will attack the neoprene.
I use the neoprene water boots for backpacking and by the end of the trip, they are pretty ripe. I run them through the washing machine normal cycle (warm wash, cool rise) but hit the 'extra rinse' button then tumble dry on low heat with my sleeping bag, or a load of towels.
I would expect that electric boot driers would work with them if you need to dry often.
I find that if I prop them toes highest they wont dry overnight on a trip, but they will be as dry as the socks I wear inside them. At home they dry within 24 hours -- about as fast as leather boots or leather gloves.
I don't think that fungus can actually eat the neoprene. Fungus are growing on the embedded bits of dried skin that we humans constantly slough off. Periodic washing helps, as does wearing a thin polypro liner to catch much of the skin.
I have had about 8 pairs of the boots. I wear them out -- put holes in the soles -- long before they decompose from fungi.