The radiator flush I think about as a real flush, does the internal part of the machine. The exposed fins on the equipment I use are cleaned by using an air nozzle from the air compressor hose. If it is still bad and seedy after that, I squirt the cool radiator with the water hose and then also blow it out by air while it is still wet. Does your machine have a screen that is removable over the radiator? My does and catches a lot of the stuff but for dust. I also added screen to exposed inlets leading to radiator location and that helped a whole lot.
The fins on those radiators are delicate so try and not touch with the blow nozzle or high pressure water. bordercollie