Unless the particles are distressing your fish, I would NOT add Clarity or some other product to clear up cloudy water. It will make crap throught your canister hoses, and if you don't get it all out cleaning, your canister will "throw up" at some point, and you'll have a cloudy tank again plus gobs of biological matter floating around your tank.
Now that you're gagging, I can only say that I have the same problem at times. Good mechanical filtration is the answer, so you might want to look at renting a diatom filter, or perhaps trying a HOT Magnum (I've heard mixed reviews). My specks seem to float to the top, so I turn off the filter and bubbles before taking out cups of water to manage them.