fujigirl: I had looked at the Specialized site, too, and seen the shims that work on the Dura-Ace and Ultegra levers. I'm going to try calling both Shimano and Specialized tomorrow to ask if they'll work on Soras.
velogirl: That's an interesting idea. Does the wool/fabric part compress over time? Do you trim them to make them fit the lever? If I can't get real shims, I may try that.
Thanks to you both for the suggestions!