I understand your pain. However, you are suppose to sweat. It is your bodies way of shedding toxins. Shaving doesn't do anything but get rid of hairs. I shaved for years, to no avail. Now, I don't bother.
You could try using natural dusting powders along with an antiperspirant. It is the antiperspirant that helps stop perspiring, not the deodorant. The dusting powders would absorb some of the sweat. They are easy to make at home.
If you are having a real bad problem with sweating, I would see your doctor.