It does sound like Babesia to me, but Doxy won't help Babesia at all. As you said 200 mgs a day, Doxy won't help any of these infections. You really need at least 300 -400 mgs daily, and Doxy might not be the right choice for you at this point. It's only effective for a short time before the bacteria 'senses' it and goes into hiding.
Can you get back in to see your LLMD? That would be the best option.
I'm so sorry. I'm back in treatment for a reinfection as well.