The stones of Barenziah are a pain... they weigh like a pound each.
With my Dark Elf I'm stuck with all of those Bard College quest items, even though I finished them all, SO ANNOYING. That stuff is heavy and I don't need to be carrying around drums and flutes and lutes, especially since you can't even use them...
If you've got too many things in your inventory, just drop them all on the ground LOL. No need to store them in a special barrel or container.
Except that you can't drop quest items...
I've got at least 4 different claws for opening doors (Ivory, Sapphire, etc.)....
Finn's Lute, Rjorn's Drum, Pantea's Flute, Three (WTF) Amulets of Talos, Stones of Barenziah (several), Ivory Dragon Claw, and I feel like the farking Keymaker from the Matrix movie.