I've found that after kiting in Port Phillip Bay i end up feeling sick as well. I'm going to take a guess and say it's got something to do with the water quality, and the amount of it your accidentally swallowing.

Compare it to the entire week i was kiting at Rockingham WA and i didn't once feel sick; and i can assure you i was certainly chugging the local sea water every time i borked a trick.
Heaps of water before and after your sessions will help. I also tend to drink a can of coke after my session and it seems to help. With all the lovely acidity of coke it's bound to kill a couple of the germs and gunk you swallowed.