Someone here (Bblinks maybe) recently mentioned destroying socks by leaving them soak in bleach for too long
Maybe just soak them in bleach overnight when they're all ready for the wash, or don't soak at all. Try experimenting

Hmm ... dunno why I was still smelling it after a week of drying

for removal of chlorines (not chloramines), use SODIUM THIOSULFATE

I don't know why aquarium hobbyists haven't caught on to its use, but it is very common practice in aquaculture. It's commonly available from pool supply places... it's what pool maintenance uses to reduce chlorine in swimming pools.

Dissolve sodium thiosulfate (a table spoon or so) in a 5 gallon bucket of freshwater, and soak overnight whatever you're trying to neutralize in residual chlorine.

When I was managing marine ornamental aquaculture and needed to sterilize something (tank, habitat etc)... I'd use pool supply chlorine for a soak overnight, then another soak with lots of sodium thiosulfate.

I went to my local Spa shop, and they didn't have any sodium thiosulphate. However, they did have a product called Aqua Neutralizer which removes chlorine and bromine from water. It contains sodium sulphite.

Is the same type of product and safe to use to remove bleach from filter socks?