Chain. Only chains, entwined with a little strip of bag material. This is currently the only bag suspension system that I find acceptable. This phase has already lasted several months. Who knows where it will end?
I make exceptions only for the one-of-a-kind hand-embroidered pieces of wearable art which usually have cloth straps, though one of my most beautiful, and I guess in all fairness, most valuable, has a strap made of something like nylon webbing, but I never gave it any thought, I had to go look at them to see!