The anti-sway bar is the large bar that connects one suspension arm to the other via end links. You can see an image of one end of it
here - referred to in the diagram as a "stabilizer bar." If the end links are still in tact, it could be the bushings (called "insulator" in the diagram) causing the noise. Don't be fooled by them "looking good." They could still be the source of the noise.
-Rod