I just upgraded to Flight Deck STI shifters and a 9-speed cogset. When I'm on the small ring, I get chain rub if I use the smallest three cogs. With downtube shifters, I would get rid of chain rub by manipulating the shifters. How the heck do I get rid of chain rub with STI shifters? I know not to use a little/little chain combination, but I'd rather not give up the other two cogs.

Thanks in advance for the advice!