Comfortable head covering for oil treatments? Please help

Hi I want to try to grow my hair out, it's 3c hair and short, so I've been using oils but when my hair touches things like my pillow it gets all greasy and it's just a mess, even when I wear a bonnet cuz it just seeps through. I've used shower caps but wearing them is uncomfortable. What's a comfortable cap that I can use for my oil treatments that I can wear all day?