@jrwilli1, It sounds to me like you and your husband are getting excellent care and follow-up by his bone marrow doctors!
I had a liver and kidney transplant in 2009 at Mayo Rochester, and I receive(d) excellent follow-up care, even today at a distance of nearly 800 miles, I feel safe and secure because my PCP knows that he can contact them if there are any liver or kidney issues to be resolved.

I was taking a small dose of prednisone many years after my transplant, and when research showed that my condition did not require it, I weaned off. I had some struggles with that, but my PCP came to my rescue and offered some suggestions. How is your husband doing with weaning off the prednisone?