Will Falconer, DVM Moderator
As with anything of a chronic nature, if I were asked for help, I'd refer to my list of homeopathic vets and how to choose one properly. That lives on my Recommended Resources page at the AVH list + video I've posted.
There's not a "Lyme remedy" like there's not a vaccinosis remedy or a rabies symptoms remedy, but when a qualified homeopathic vet takes the case, he or she will treat the dog and HOW she's sick. It's a process, likely to take more than one remedy (though only ever one at a time with careful evaluation of each as to response by the dog before choosing the next one). Homeopathy can cure this, but it's beyond DIY or a "one remedy miracle" as it's not acute.