I read that Babesiosis can cause drenching sweats. It's very similar to malaria. Its one of the co-infections that often accompanies lyme disease. It's treated with anti-malaria drugs and antibiotics. If you have lyme you should be tested for it as well.
I had the symptoms as well as lyme disease symptoms but when I asked my doc if he checked for co-infections I was told that he did what he is supposed to according to the AMA and the CDC. No further testings was done. The 28 day antibiotic treatment is all they will do. My diffuse rash went away as well as the pain and discomfort but a short while after the drugs the symptoms came back.