If your average hunter can't follow directions well enough to keep his BH's from opening in flight......I don't think you need to add in anything as super-complicated as mesh netting to this already extremely intricate task.
I'd stick to the "Team Cherub" line of equipment and the rubber suction cup tipped arrows.....and I wouldnt shoot them through mesh, either.
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"The Whitetail Deer". Call them dumb, call them curious, call them whatever you want, but one day, the biggest one you ever saw will turn you into a babbling fool.
I dont have any experience witht them, however I have seen demonstrations where they open on a piece of paper. I wouldnt shoot them throught the mesh. I dont shoot my fixed blades through the mesh, but thats just me..