If you're using something like a plate chiller, I recommend using some serious chemicals on it. I would definitely use caustic, and recirculate it through the plate chiller for thirty minutes with hot water 150-170°. Rinse with hot water until you no longer feel the caustic's slippery slick feeling. Recirculate sanitizer through for a couple minutes, done. I would suspect the interior of the plate chiller to be stainless, if it's aluminum for some reason, don't use caustic. It will react violently. Use acid instead. If you have a super funky chiller, use caustic, then acid, then sani.
Also, if you're leaving your plate chiller packed with a chemical, use caustic. The sani may eventually turn into a medium which may be suitable for bacteria.