ya i first thought velcro but figured like you with the mesh theres not much of it to adhere too. I picked up a used grill for like 30 bucks of ebay. seemed like the best solution.@lws Thanks for the feedback! I agree that the mini zip ties are a bit more "permanent" than what is handy. I know you already solved your issue, but 1/4" velcro cable management ties might be worth a try. I don't know how they will fare in harsh outdoor conditions, though, but if you keep an eye on them once in a while throughout the season they might be ok.
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I initially designed the cover with industrial velcro tabs (with corresponding adhesive velcro tabs for the grill) but there is so little surface area for the tabs on the grill I was concerned that it wouldn't hold reliably and people's money (cover) would just blow off on the trail somewhere. So, I somewhat overkilled the fasteners.