I need noise cancelling (or close to it) headphones I can sleep on my side with. I have a crappy $20 headband I got from Amazon that does OK but lets a fair amo

I need noise cancelling (or close to it) headphones I can sleep on my side with. I have a crappy $20 headband I got from Amazon that does OK but lets a fair amount of sound leak in. I live on an extremely loud street and can block some of it out with a noise machine, but find headphones needed to really block everything out. Anyone try a pair they like?