What about those nets that sit up on the ceiling, attached to the 4 grab bars? Not sure if they can support the weight without sagging but if they can, they would be out of the way up there and easy to grab from the back.
EDIT: looks like you already have one of those nets up on the ceiling so obviously this won't work.
EDIT: looks like you already have one of those nets up on the ceiling so obviously this won't work.