Oh!!! Check out Next!!! Whenever I'm in London I always hit up their stores for their machine washable suits. The first time a friend told me about them, I had a similar reaction as 16:17. But they aren't crazy expensive, so I figured why not give one a try. I was shocked how well they hold up! I have several now. Here is a link to their site - they ship free to the US.
http://www.nextdirect.com/us/en/shopping/women/tailored-looks/95/1
Although I just looked now and it doesn't look like their site includes the info about how to care for the products - you might need to call customer service to find out which ones are machine washable.