I've no idea about the stucco.
As far as the stuffed animals, when my kids were little we used a hammock.
We had a full-sized mesh hammock (made by the Mayan Indians of the Yucatan Peninsula) and I hung it from the ceiling in my son's room.
A few stuffed animals made their home on his bed while the rest resided in the hammock.
Oddly enough, the thing my kids remember most is the fun they had tossing the stuffed toys up into the hammock to see how high they could make the pile before the hammock tipped and they all fell out!