Houttuynia is a very effective herb for Bart and Rifampin along with Biaxin can be an effective abx combo for it.
Have you ever considered supplementing with L-arginine? It's an amino acid that increases nitric oxide levels in the blood vessels (Babs/Bart decrease NO levels).
In his latest books that address the coinfections, Buhner says studies have shown the supplementing with L-arginine alone can clear symptoms of Babesia and Bartonella. He recommends 500-1000mg twice daily.
Here's some info from his now outdated website:
buhnerhealinglyme.com/the-protocols/One caveat: Supplementing with l-arginine has the potential to reactivate viruses. Starting low and slow is a good idea.