Hello Jay. Sorry to hear about your treatment challenges to date. I was given ATG (horse as opposed to rabbit) few days after my diagnosis last summer. I also got cya and high dose of prednisone. It worked to bring out neutrophils out of my bm which reached as high as 6.4 about 3 weeks later, but they didn't last as the disease took over once again about 6-7 weeks after the therapy. This is no reason to be discouraged though as we all react differently. The docs had high hopes. I suggest you discuss this with your doctor in detail and probably give it a shot.
Btw, I'm an admin of the only LGL support group on Facebook. We would love to have you as a member and a fellow LGLer. Search for this group on Facebook. It's a group, not a page.