Found this soup at a blog. No dairy, but it does use soy milk...
http://eatair.blogspot.com/2008/02/broccoli-soup.html

And this one, no dairy at all...
http://www.epicurious.com/recipes/food/views/231720

And this one, with coconut milk...
http://www.latartinegourmande.com/2007/05/20/an-unusual-broccoli-soup-to-recover-une-soupe-de-brocoli-differente-pour-recuperer/

Maybe one of these will strike your fancy...