I tried this years ago, and it turned out to be a disaster on a epic scale.
I thought I had wrapped the fish in enough layers of clingfilm but it sort-of exploded all over the inside of the dishwasher. I had to run the fecking thing 4 times, with just detergent in it, to get rid of the fishy smell. Even then, I swear that my wineglasses tasted very faintly of something other than Merlot for months afterwards.
My advice is NOT to do it. Why bother anyway....don't you have a cooker in your kitchen ?
Whatever next...toast by Dyson ?