I couldn't test positive to more than Band 41 for Lyme until I had completed a full year on 900 mgs of Minocycline. That was the last time I took abx though. I now use Chinese Acupuncture, Chinese Medicine and Western Herbs for my treatment.
Babesia is a protozoan infection, though. Do you show any signs of Babesiosis?
Here is a good site for more reading on Babesia and Persistent Babesiosis:
www.drjoneskids.com/ After you click on the tile for Babesia, then you will see on the left,back over in the tiles under Babesia you will have the option of choosing two other sub-titles, one of which is Persistent Babesia.