Kimberly,
I suggest that you get an appointment for a consultation at the
Mayo Clinic in Jacksonville, Florida, where Dr. Guillermo Ruiz-Argüelles and other physicians have experience treating aplastic anemia.
It's worth checking if your insurance already covers out-of-state treatment. If not, I think you should find out who to apply for pre-approval if you can show that you need an out-of-state specialist, so you'll know if it's possible and how the process works. But don't let it delay your getting a second opinion soon.