I was born with a hole in the roof of my mouth, and later on I had to do another cleft palate repair. I went to UIC Cranio-facial center. They were very comprehensive, professional and they were overall just simply excellent in my pre and post-op care. Highly recommended. I wish I can recommend a doc to you from there, but this was all done way back in 1986.
Good luck! Not fun to go through it, but with the right people the process is easier.