I am so sorry about your hair loss. I'm on Lamictal, but have never noticed hair loss from any medication. I encourage you to be very proactive with the person writing your prescriptions and insist that you want a med that does not cause hair loss.
In addition to a better med I agree with others who suggested supplements. Honestly, I'm generally not that much into supplements (I probably should be), but my nails were badly damaged from gel polish. I stopped the gel polish and began taking biotin. To my surprise my nails are definitely growing faster and stronger.