Clear soup with snow globe flakes
It is not difficult to produce a clear broth or consume.  Traditionally, an egg white raft is used to capture solids, and one can remove the clarified broth.  There are more modern techniques for liquid clarification, which can easily be found online. For example, agar can be employed to gel the broth.  The gel can be broken, and the clear liquid can be drained.  Remember though, clear does not mean without color.  So consider your soup ingredients as you think about the color of your final product.

For your soup, to me, the issue is the blue cheese, which will cloud your clear broth if added as pieces of blue cheese.  So, I would experiment with getting the blue cheese flavor into the broth.  

Then, chop cauliflower in a food processor, as if you were making cauliflower "rice". The cauliflower would have to be raw, perhaps being cooked by the soup once added.  I am guessing these small pieces will sink in your bowl of clear soup.   Stir them up and it will "snow".