Do you not have a drink cooler? It'll do a better job of this than a dishwasher.

http://www.seriouseats.com/2010/04/cook-your-meat-in-a-beer-...

The dishwasher cooking trick is old, by the way; here's a reference to an article in Salon about it, from the '90s:

http://www.salon.com/2000/03/03/cookbooks_4/