also curious; nothing on this page looks controversial (https://www.cdc.gov/parasites/babesiosis/health_professional...), unless you believe that doctors are wrongly overprescribing azithromycin. (which is fair! but probably not conversation-killingly controversial)
Chloroquine/hydroxychloroquine would be the other likely candidates. A quick web search suggests they've been tested and found ineffective for Babesia. Of course, their being found ineffective for treating a disease in a scientific study does not always stop people from trying them.
There's a mouse study from 2019 suggesting ivermectin is likely to be effective against Babesia, but it is not a standard treatment as far as I can tell.