My son had the opposite problem but his ped was quite helpful. My ped (and now alot of others have been agreeing) is very adamant about the use of medication especially over the counter treatments are not the best solution to a variety of children's health issues. Like the hospital ( any one but Children's Mercy) freak out if I take a sick kid in there with a temp and I tell them I haven't given them anything for it. It's about research - fevers are there to show us how well they are fighting off infection. If it is above 102 (until a certain age) then YES YES not recommended under that temp. The body needs a future reference if it has to fight the infection again.
Can't tell you if this condition is due to diet, illness or what. If your ped won't listen to you then go get another opinion. Soon. The sooner the better. And as for up above I guess I am trying to say that it is best not to try and self diagnose and treat or use someone's advice who is unqualified.
I am an avid fan of Children's Mercy,, they have a nurse line available 24-7 and know children well. They can give you solid advice, recommend doctors and they have specialty clinics all over now. I know there is one in the Northland - you are from Richmond area?? Let me know if you need there number.