Getting pretty tired of changing doctors...
We're seeing Dr Jeffrey Wilson in Cranston. He's a family doc with a speciality in pediatrics. My Bradley birthing instructor recommended him. He's very moderate, very reasonable, and has never given me any grief whatsoever about our completely non-vaxing status. He also (bless him) helped convinced my then wary dh it was ok not to circumcise.
I live in Cumberland, so he's about a 40 minute drive from me. But I think he's absolutely worth it.
I do believe that, yes, family docs are less likely to toe the offically sanctioned line than many pediatricians. Speaking very generally, of course.
Good luck with your search :)