Sarah got me a cool "cheat sheet" called "STAIN REMOVAL Tips for Household Cleanup" which has some cool stuff in it. I just tried its tip for a clogged drain. It says
Pour .5 cup salt and/or .5 cup baking soda down drain, followed by boiling water, flush with hot tap water.
It worked pretty well. I guess this doesn't work if you have standing water in the sink already. After the first time I tried this, the sink was still draining kind of slowly so I did it again and the sink drains well.