D.R.
Hi K C!
You know, I had the same problem in high school, and a few years after that as well. (Somehow, it went away.) Back in high school, my mom called my doctor's office and explained the situation. The nurse HAD heard of this, and she told my mom that around "that time of the month" (before, during, and right after my period), some women tend to have low iron. They never did any testing or anything, but she told my mom to get me some iron pills, and I had to take one every day during that time. It worked, and like I said, somehow I grew out of it eventually.
I don't know if you should just start taking iron pills before you do some research or talk to a doctor about it. I know now that getting too much iron isn't good for kids, but am not sure about adults. But maybe this is something you could try suggesting to your doctor's office and see what they say? I guess it couldn't hurt, right? Good luck!