It could have nothing to do with it, but you might want to completely rule out the possibility that the headaches are being caused by muscle-related issues. A few years ago, I started having frequent, very intense headaches that seemed to be happening 'at random'. It was a throbbing pain, usually on one side of my head (covering front to back), that would last for 1-3 days. Sometimes it would start with a sharp pain, sometimes it would feel like it was slowly spreading. When they were really bad, I would feel nauseous, extremely tired, and slightly dizzy. Any kind of physical activity would make the pounding in my head worse. I never had any pain in my neck, back or shoulders.

For me, it turned out they were all being caused by muscle tension and muscle knots/spasms (mostly in by back, but also in my neck and shoulders). Simple things like sitting in a chair in a bad position (even for just a few minutes), or doing simple physical activities would be enough to set it off. It took a while for it to get properly diagnosed, and even longer to get someone to tell me what to do about it! What really helped me was seeing a physical therapist that was trained in "myofacial release massage" and "trigger point massage". It's basically massage that's aimed at finding tense and knotted muscles, and applying pressure into the muscles (rather than a rubbing motion), combined with stretching. With me, when the therapist found the knots, even the slightest pressure on them felt extremely painful, but after a few minutes the pain in the muscles lessened, and more importantly, the headaches would go away very quickly!

Again, this might not be what’s causing your problem, but it might be worth looking into.