A recent HN thread described how noise cancelling headphones may cause tinnitus. You might want to research that.

What model? Mine wouldn't probably last all night. And I assume you mean earbuds?

Do you think there's a meaningful advantage over using quality ear plugs?

I would like to know more about this. Do you suggest wearing plugs made for music concerts? Or they are completely different?

I wear earplugs every night. I personally can't imagine wearing actual noise cancelling headphones which would prevent me from moving freely and requiring a charge every night. But good quality earplugs (e.g. from Etymotic, Downbeats, or Loop) make a world of sleep quality difference, especially when paired with a sleep mask.