Maybe get her titers checked for Hep A?
If the doctors are stressing Heb B because dd is getting shots, I'd be more worried about finding new doctors. What is going on in their offices that they think your dd is at risk for contracting Heb B when receiving shots?
Should moving become an issue for you, I'm sure you could find someone to give dd a polio shot on one hour's notice. I wouldn't vax for something that may or may not happen.
Not to sound pessimistic, but it doesn't surprise me at all that doctors cleared your LO for vaxes. Personally, I don't know of ANY children that have been told they should not receive vaccines. And I know kids with autism, neurological issues, seizure problems, and a host of other things. Doctors have this sick compulsion with giving vaccines, and they somehow convince parents that they are in the best interest of their children. Even when there are NO studies to back them up.