I have the same problem and it's only getting worse with stress n age. Contact me if you wanna search for the answer ... I'm Jessica
That is very interesting...Swampy's mom has the identical symptom -- not sweating, feeling clammy, overheating...and most of the women on her side of the family do as well (none of the men though).
Her way of dealing with it has been to turn on the air conditioning and to not go out when it is hot. However, she probably also doesn't have a severe case...
Have you found out more information on this? I am not a doctor, so take my comments with a grain of salt. It sounds like you have anhidrosis, which is the inability to sweat normally. It's connected to your autonomic nervous system, so is best addressed by a primary care doctor or a neurologist. Check out http://www.mayoclinic.com/health/anhidrosis/DS01050 for more information.