What a cool idea!
Since I dusted off the sewing machine to make the Bridge hammock I decided to give this a go. BB, I had seen you latest pic

and decided to run with that. I ended up with just putting a layer of netting about 3/4 the way up the silnylon and ALL the way around. I used a little elastic on top of the netting. I sewed the netting into the seams with the sil and then made a hole in the bottom.
I now have a netted pocket on both side of the bag. If the webbing/rope gets all wet from rain, I can keep both of sides out but still with the bag.