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For a lightweight tarp, don’t forget Tevek. You can buy it by the foot at Lowes, or sometimes you can get some small scrap pieces for free or cheap from a home construction site. You can make it not so noisy by running it through your drier to tumble. It’s really lightweight and fairly water resistant.
You got some more info on Tyvek? I see it all the time on the side of houses but don't really know what it is. Plastic? Do you treat it like a regular tarp without grommets? Very interesting.