Hi acidwiz,
Well, I have some good news and some bad news: There are probably about 100 flocculants which coagulate Calcium Chloride and Calcium hydroxide and about 1500 products that are broad-spectrum flocculants which may-or may not work.
This is highly dependant on factors such as: 1) pH, 2) organic concentrations, 3) impurities, 4) solids, and other factors.
As a general rule of thumb, an inexpensive flocculant may be sodium bicarbonate (again, depending on the pH). This would form a Calcium Carbonate precipitate which would fall to the bottom of a settling tank. Although sodium bicarbonate is inexpensive, it is inefficient, and may cause unwanted side-effects. Organic polymers may be better in selective situations.
Try a small sample in a beaker, and determine if this does what you want it to do. There are MANY other options, of which, I could easily write a book just on this topic. For most purposes, I imagine that some chemical laboratory testing would be the best way to eliminate products which do not work.
I hope this helps, and feel free to ask more questions.
Sincerely,
Eugene