I have this OCD thing where I hate quest items being stuck in my inventory. I know they don't weigh anything, but it just irritates me!
I say instead of addressing them individually in patches, why not just make a patch which allows us to store them only in containers located in houses we own. This way we can still have them but they aren't clogging up the inventory.
Another idea is that the items could be sold, but only to your spouse. A message would pop up, "do you wish to sell this quest item"? The items would remain with her/him always, and you could buy them back later if needed.