I foster lots of dogs and cats and have occasional outbreaks of ringworm and mange. It was not uncommon for one of my family members to get ringworm from the affected pets. A nurse at a local hospital suggested we try head and shoulders shampoo...just wash hair as directed, and any affected areas. Within days the rash is gone.
We tried the same thing on the pets and got the same results. For ringworm, wash pet and let it soak for about five minutes. Rinse thoroughly. Repeat every couple of days.
For Mange, apply shampoo to coat and work up a lather. Let sit for 10 minutes to kill mites. Rinse thoroughly. Repeat every three days as needed till rash is gone.