Thanks for your update.
It's interesting you're feeling better after moving to a less humid climate. There would be so many different environmental factors involved in doing such a study. Look at the prevalence of Seasonal Affective Disorder in certain climates too.
I was looking in barometric pressure changes and migraine triggers recently. Your story is almost the opposite.
In the study about migraines below, they found that not only did higher temps lead to more severe headaches but that lower barometric pressure triggered migraines.
http://www.neurology.org/content/72/10/922.abstract
Weather and air pollution as triggers of severe headaches
Kenneth J. Mukamal, MD, Gregory A. Wellenius, ScD, Helen H. Suh, ScD and Murray A. Mittleman, MD, DrPH
http://news.harvard.edu/gazette/stor...ere-headaches/
Harvard Gazette
edited to add: I also found this interesting. It mentions something called a MediClim
http://www.cmaj.ca/content/180/8/809.full.pdf
Meteorology of the human body.
Anyway, sorry to go off on a migraine tangent but I do find it interesting that you're feeling so much better.
Thanks for your update and I hope you continue to get well.