bulky nappy wrap question

Can anyone recommend me a wrap that will fit over bulky or wide nappies for night time, we have fleece which I think are too tight over the bulky ones so things get quite damp sometimes. Our 'debbies' pul wraps (if iv got the name right ) are brilliant but slim and dont always cover the nappy if it's the wrong fit for the wrap if that makes sense, preferably something that doesnt leave red marks like our motherease airflows did.
Thanks x

forget to add that as she wakes quite a lot in the night and soaks through everything she is changed a least once in the night

what about a nature babies hunnie? we find that they have quite a bit of room in them. x