I ran a link of chain through the cleaning rod hole.
Thanks to YWHIC-AccessoryArms for the idea. I read your post, and got the cleaning rod from the garage, the one that came with the Saiga. It's too long, which is good for cleaning, but doesn't fit under the barrel. I was looking, saw the hole in the bayonet lug, perfect! Dremel, cut-off wheel, chain, and the sling is back on.