Shimano sells a 4 degree and an 8 degree rubber shim that replaces the press-fit bumper beneath the top of the brake lever. The shim prevents the lever from opening or snapping back all the way outward, thus reducing the reach. The shims are easy to install and they do work.
I have used the 8 degree ones for my wife's bike. Although she later decided that she didn't like the feel of STIs, and has since gone back to bar ends and Tektro 100s. I'm not certain whether 2200 levers take the shims or not. It'd be easy to check, though, through the Shimano tech notes...