Oh by sock hat I meant knit stocking cap? Like we wear for winter? But for me that was too hot. The little chemo beanies/slouchy caps work perfectly. I have a small head too and the beanie link posted for Amazon is what I wore. They’re not too tight but stayed on my head just fine.

The great thing is that they’re so flexible. They open up into gators! Like stretchy headbands. So I actually still wear them even though my hair returned. I wear them around my neck or sometimes pulled up to make a headband. They’re not very expensive so it’s not a huge investment to try. I did have nicer beanies for ‘formal’ wear. LOL. Those came from Headcovers Unlimited. Bought things to match outfits.
I really got used to being hairless which was a change from my ‘long hair in a messy bun’. So quite frequently I went without anything on my head. Except that I got cold! And felt better with a little head covering…along with my blankie and cute socks, my doctors/nurses were quite entertained! 😂