I did something really similar as a kid... we had some leftover wire fencing one fall so I stuffed all the holes with leaves... you could carry it around, possibly even roll it up loose- and if you laid down in some sort of depression and put it on top of yourself, you could hardly tell it was there. I'd be willing to assume the same would apply here!

In a lot of places the trees are so thick you aren't going to get the undergrowth coming up your fence material like you want. But you can always stuff the holes with leaves or grasses if you want to.

I do like the idea of cutting a hole to shoot through though! I like it a lot!