It seems that the males are successfully avoiding you, and they make out, copulate, make babies on the floor. So we need something to wash the floors with, spray them, something that would make the males infertile, like neem.
Turns out that dandelion roots are such... I haven't tested them, but most everyone in temperate climates, has dandelion in their yard, so it may be an easily attainable solution. It's not the only plant, I will keep on looking, for example for Indians, or other continents.
Another new thing: Stevia in the irrigation or bath water also kills itch mites... I haven't found the concentration yet.
I am looking for new ways...
Now, what if you have itch mites and you hate Neem? Can you just use the floor washing? I hope so. I love Neem, I even love its smell, but I am weird. I'll keep you posted.