There are a number of doctors you could see for a second opinion. Depends on your location, insurance, etc.
My youngest had/had two hemangiomas. The larger one was on her right cheek just below the eye. She was treated with oral steroids (from 2 months to 5.5 months old) and a steroid injection at 7.5 months. She has had two plastic surgeries - one at 11 months and the other at 2 years, 4 months. We are considering when she will have her third surgery (hopefully the last one). She is now 4.5 years old, and the surgeries have greatly improved her appearance. She is not bothered by how she looks, but she likely will be a few years from now (judging from her sisters' comments - ages 11 & 13).
We traveled from the East Coast to the West Coast for the injection and surgeries for insurance reasons.