Bleach on my food? Absolutely not. For one thing, bleach is not edible and it has a strange taste. I would consider it to be contamination of it got onto my food.
Have your implements clean, Butcher the chickens, pluck, then rinse before opening. Gut and then rinse them inside and out, and then into the ice water for fast chilling. Then before you package them, rinse them again with clean water so that they are ready to come right out of the freezer and into the pan.
If you nick the intestines, just rinse carefully., There is nothing poisonous inside a chicken. With the exception of inside the intestines, there are absolutely no germs of any kind inside the muscles or under the skin, or inside the body cavity. What is inside the intestines is easily rinsed off.
Your home raised meat will be much cleaner than anything you can buy. Stop worrying about germs. Unless you treat the meat badly, don't rinse it or leave it sitting out warm for hours, it is very clean and safe. Use some standard meat handling methods and there is no danger from germs with home raised and home butchered meat.
(I do put dish soap into the scald water for ducks and geese. It rinses off and the same soap is in contact with the dishes i eat off of, so I know it is not toxic.)