D.D.
Why your doctor is suggesting a steroid instead of very effective but much safer drugs, such as Zofram or Reglan, is beyond me. I strongly suggest that you find a different doctor.
Just like you, I had hyperemesis with both of my pregnancies, and had to take Zofram for both. For my latest pregnancy, my hyperemesis was so severe that I was put on a Zofram pump 24x7. This is a pump that slowly but constantly injects the medication (Zofram or Reglan, depending on which works best for you) subcutaneously. While this option is not pleasant, it was the only thing that kept me out of the hospital and kept me from losing my baby.
I also do recommend getting acupuncture, as it can really help. Keep in mind, however, that while it may alleviate regular morning sickness, for real hyperemesis, it will not be enough. You'll still need medication.
I also found this website to be very helpful:
http://www.helpher.org/hyperemesis-gravidarum/
It has a lot of support and information for sufferers of hyperemisis.
God luck and I really hope things get better quickly!