My sister is a doctor (not a surgeon though) and she works at a very good private hospital in Santo Domingo. Its a chain of Spanish (from Spain) private hospitals that are opening up in The DR (Bavaro and Santo Domingo). She tells me is not a cheap place, but basically most of the doctors who work there are top notch. For instance my dad had to have bypass surgery and we took him there because the heart surgeon who works there is considered to be the top heart surgeon in the country. He did a great job.
Anyhow give them a call if you wish and see what they can do for you.
Here's their website:
Hospiten