My oldest had two of them on his face when he was born, but they both went away on their own. I'm sorry! I wish I could tell you more from personal experience.
I looked up the treatment you're talking about. (The only treatment I knew about was surgery.) It looks like this treatment is still in the experimental phase and may have side effects (scroll to the bottom of this article). I would certainly see another dermatologist (or two) before considering drug treatment instead surgery or time treatment.
Hemangioma - MayoClinic.com