It's good that you're looking into babesia. If you indeed have it, you need to treat it appropriately. It can be hard to treat Lyme if you don't treat other co-infections as well.
The babesia symptoms really stink. (Well, ALL of the symptoms are awful.) I used to have shortness of breath because of it. Walking up a flight of stairs was a huge chore. My sweats didn't happen at night. They would come at random times during the day. In one particular instance, they hit me while I was getting a hair cut. By the time I stood up from the chair, my clothes were completely soaked through from head to toe. I can sympathize!
I don't know anything about
ulcerative colitis, but have you looked into using probiotics? I mention it because one of the probiotics that I take,
VSL #3, advertises that it helps with that specific condition. I take this probiotic myself, as well as others, but not for that reason. It might be worth looking into this or talking to your doctor(s) about
it. I don't have any association with the company, and I can't validate their claims. Unfortunately, this particular probiotic is the most expensive one I've seen and has to be shipped overnight.