Looks like not much action on this question. I'm not qualified to answer it but I'll suggest maybe canvas. If you've got a craft store near by, it might be worth stopping by. Joann's is no more, but something on that scale.
Quiltingboard.com is a pretty friendly place, at least the sewing machine subforum, maybe someone there could help out.
On second thought, maybe you could find some of those inexpensive shopping bags everyone seems to love so much and harvest what you need from them ...?
EDIT: Well, you said it was plastic like, feed bags are some kind of woven plastic. And since we're now fabric shopping at Tractor Supply, how about a tarp? They come in a small selection of colors, maybe one of those would suit your needs. Or, maybe a garden center would have an anti weed tarp?