I can tell you the name of the pediatrician where I have taken my children since my daughter was a baby (13 years now).
Also, if you think this is serious enough, you may consider taking the baby to the emergency room - I know it will cost more on your insurance, but if it's necessary - then I would.
I most definitely agree with you. I would find another doctor if my children's doctor told me that my child may have strep and then told me, "Oh, but sorry. We're 2 doctors short today. Can we see you tomorrow?" NO - strep in small children can lead to all kinds of problems.......