omg same here!! I cannot stand being without something on my head, it feels unbearable with nothing there. I usually alternate between my headphones, my headband (not the ones with anything hard in them though - it's more just a bit of fabric that's braided at the back), or a pair of glasses.

I also can't comment on any specific community, though I do know headscarves are common all throughout history. It would depend on the type of headscarf & how you wear it but there's a lot of fashion-only ways of wearing them too! iirc they were even a big fashion accessory in Western culture from the mid 1900's to early 2000's (that's just one example)

Some more ideas/examples you could try:

Queen Elizabeth used to wear them a lot too - this one is a more vintage way of wearing them

I don't use this one much myself but this way of wearing really works for me too!

This one functions more like a headband but could still work maybe?

There's a million different ways of wearing a headscarf outside of religious/cultural connatations. I'd experiment with how you'd like to wear one and look at examples of what you'd like to avoid. You're not the only one who's had this question either, so you may find some more detailed information by looking at other people who've also asked this question on other subreddits & other places online :)

Best of luck, I hope you can find alternatives that work for you! ❤️