It sounds like we have similar chains. When I ordered mine I got the spider bungees, they were only an extra $11. Can't guarantee they hold without any movement, but they definitely keep the chains a lot tighter and should at least help some. We have not had much snow here yet, but so far they seem to be staying in place. Not sure if you already are using the spider bungees but if not it might be worth trying a set. You may even be able to find them cheaper then $11 in the US. Hope this helps.
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