I went to several hardware/appliance stores, and they all looked at me like I was an idiot. "Of course we don't sell those things, you fool! What were you thinking?"
Don't you have any local appliance repair places that sell parts? They usually have the common stuff in stock. I needed a new transmission for our washer a couple of months ago. I look up a part number online, make a couple of phone calls to check prices, stop by on my way home from work and before dinner the washer's humming with a new trans. It was $180, but the old one lasted 13 years and the washer is in fine shape otherwise, I expect it will go on another five years at least.