I hear you. Thanks to a major TBI, I've had a headache that while it varies in intensity, has been with me every single minute for almost three years. I know how it wears you down. Frankly, if I didn't have a small child...
Unfortunately, my neuro thinks that there is nothing that can help this sort of headache, so that's what he gives me.

Others here are getting relief from various medications like Topamax and plain old acetaminophen and I'm sure they'll be along to share their experiences. I suggested some of these meds to my neuro - and he just sneered at me. I've got to think you'll have better luck with your doc: the world can't really be big enough to accommodate two a##holes of such enormous proportions.
Like you, I'm on tegretol. How high is your dose? I ask because one of the possible side effects of that drug is HEADACHE!!!!!!
I know it's hard, but hang in there.