Actually this is a hard way.

All it takes is a last name. You dont even need a first name or state I believe, although you may need a lot of patience and some luck to find the right "smith" without a state. Once you have at least a last name, you could look up the doctors specialty even practice address in the public NPES system.

Good for you though! Never though non surgeons would review surgery claims. Seems insane to me and grounds for a professional liability suit

You do need access to the state board if you want to check out complaints. i dont think You will find much though. Doctors rarely get "written up"