Dumb question here -- who is your doctor ? If YOU aren't satisfied, change doc's anyway. (Do you go to Dr. Almquist?) I live in Greenfield, and we went to a pediatrician for a while (in Erie), but the guy was so condescending I went back to a family doctor after I found one I liked for me. I look for straight talk and good explanations from my doc's.
Anyway, Strept often comes with a rash, too, on the tummy, for the most part. And sometimes you can take your child in early on, and the culture will be negative, because it hasn't fully developed. I've also heard that you can actually fight a strep throat without antibiotics -- they give the antibiotics to protect you from complications.
At any rate, also remember that the common cold lasts 10 days. You can take meds or not, but it will still last 10 days. Post nasal drip can cause sore throats. Dry homes can cause sore throats. (and it IS the beginning of heating season) go for fruit juices for vitamin C content, you can even make ice cubes of it and chip them so it's more "fun" if you want . . . keep them hydrated, take a few rest breaks, (watching a favorite TV show or something so they don't fuss over it) and know that if it IS bacterial, the temps will zing up to around 103 or more, and you'll know something is wrong.
Strep is also not as contagious as you think. We had a 4 yr old get it, and no one else in the family did. when I was growing up, my sister got it a whole lot, and I never have. Once she (who is now a nursing instructor) was 99% sure I had it, but the test came out negative (one of those too soon things), and I fought it off myself. I've never had it since. So either I just never got it, or I got it once and have antibodies now. ?? who knows?
Doctoring the kids is one of the tough things we do as parents. It's always a guessing game, so just do your best. I think the fact that the fevers are down is evidence they are on the mend. (Fevers also come with dehydration, BTW, and a doctor once told me that the adult human body makes 1 quart of mucus a day to protect soft tissues . . . when we are sick, just IMAGINE how much it needs to make !! that's why you push fluids. -- also to help your kidneys cope with the things they are cleaning out of the bloodstream to get you healthy again)
Best of luck !!