Is there a difference betweeb IBS and Celiac Disease?

I am always tired, I have constipation/diarrhea in alternation (no matter whether I have IBS or Celiac disease it isn’t nice I know that much).

Sometimes I feel really bloated and my allergies seem to change at will (one minute I’m allergic to wheat and can eat dairy and then I am lactose intolerant and can eat wheat), my body feels like it is just giving up and shuts down at times,…

I ended up having to beg my doctor before he would test me for Celiac disease, he ended up telling me I was  just lactose intolerance. When he said “just” I was not happy at all as you can imagine.

I don’t eat many milk based products anyway, I ended up having a colonoscopy and that came back as negative for IBS. So what is causing me this much pain and discomfort?

Is there anyone who I can speak to who specializes in IBS and Celiac disease, I live in VA so ideally they would need to be local. Should I go looking for a natural or homeopathic specialist who may have more personal experience with celiac, which is after all an allergy?