I'd really like to be able to store more notes, but they shouldn't take up the same amount of space as other items. How about a folder that stores 16 notes, and the folder can be the one container that can be stashed in bags?
Taking it further, we could have filing cabinets in our houses to store folders.
The folders could come in several colors to help us organize them. I like keeping the bits of poetry and personal notes, and since they aren't items that have a tangible in-game benefit, why not give us a better way to store them?