This is way over-engineered. Just put your hands in cold water..
Also, this fact about cooling the body for better performance is well known in professional sports. An example product that is being used there: http://www.icydip.com
The problem with that is that the blood vessels clamp down in response to cold. The vacuum prevents that, and seriously improves the efficiency of the cooling process.
Also, this fact about cooling the body for better performance is well known in professional sports. An example product that is being used there: http://www.icydip.com