Gasoline. Burn down the coop.

Just
kidding!
But that would be the only homemade treatment that has any chance of working.
You need permethrin or spinosad. Both are natural insecticides safe for poultry that work on mites and lice, and can also be used directly on your chickens, which is a good idea, especially if they carry lice, which live on the chickens.
When shopping, read the ingredients labels to be sure petroleum distillates haven't been mixed in, which, even in tiny amounts, can harm chickens.