Antifreeze Replacement After System Flush

I flushed my cooling system with a chemical flush. I've been running a number of plain water flushes (distilled water). The stuff thats coming out looks pretty bad. Once I get clear water coming out, Ill replace the water with a 50/50 mix of antifreeze. Besides draining the radiator, should I also drain the block? Normally I would just add the 50/50 mix to the radiator but because I was having so many cooling issues, I wanted to get the most protection for the cooling system. Thanks
Author: money pit