In your videos, you are using what I'd call a "half rack."
You have the "hooks" or "cups" or whatever you call them, and underneath are the "safety rails."
Is it possible to raise the "safety rails" and push into the bottom, or underside of them? On some racks, they would just lift up or fall out. But some don't move.
Maybe you could make some loops out of rope, and set them up like you would bands on the bar. Only they wont stretch at the top.