Why would you want that? If it's the smell that's bothering just shower better and use baking soda after your bath, rub it on your body and then wipe it off with a clean cloth and that will take care of the smell, if it's for work or something just take another shirt. After a ride, when I get home I take off my shirt and dip it in water and hang it, it doesn't smell.

Mind you, I changed my diet and other habits and my smell just got better, I used to carry around to cans of dehodorant and clean myself regularly but my odor was awful! I drank a lot of booze, smoked, ate junk food and it showed.

At any rate, there is nothing wrong with sweating and ice packs would mess with your muscles and also your weight and areodynamics. I mean, you would to strap ice packs all over your body.