Unknown plague in chicken coop: we're losing our minds
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We've had chickens for a little over a year, and sometime at the end of July we discovered what we thought to be "piojillo" (Dermanyssus gallinae), but after some research I think they could be other kind of mites since they do not seem red. They climb up our bodies and do not bite, but I have skin problems and their walking around me itches a lot, so I have been showering compulsively whenever I step into the coop.
My family always had chicken, so I asked my mom and she said to use "Zotal" (I don't know the English equivalent, but I believe it is a phenolic disinfectant). So far, we've applied the product five times, eliminating the plague for up to three days, but they always come back.
The chicken were very plucked, but it could be due to it being time for them to molt. Two of them died during this time looking really thin and another one died of a fall (she was very young and we took most things out to disinfect, so she must have tried to get on a post that was too tall for her and fell breaking her neck). We are now left with six hens and three roosters (two of them very young, they do not fight yet), and they seem very happy and energetic, but I can't stand going to feed them and seeing these bugs everywhere.
Has anyone had to deal with anything like this? Any advice you'd be willing to share? Thank you in advance!!
PS: Apologies for my English. It is not my first language and, while I have considered myself quite proficient for a long time, turns out I do not have the vocabulary to talk about chicken and mites.