You can try it- I did but took it down because it got saggy.
I have a run that is about half the size of yours. Here is what I do to make my hawk shelters:
First hawk shelter: Take a sheet of plywood and cut it in half lengthwise. Put some metal roofing on them to make an A-frame shelter (long) with a metal ridge on top to keep the rain off the seam. This makes a nice shelter that they can walk down the length of to get out of the rain, too.
Second hawk shelter: Free pallets elevated on concrete blocks (with the concrete blocks turned so that the shelter is tall underneath). I also have some that I leave the concrete blocks turned so the chickens have to duck under for extra protection.
These are very effective for me. I have never lost a chicken to a hawk except at that vulnerable age when they are about 6 weeks old and not good at running under the shelters.
I make sure there is a hawk shelter every 20 feet or so, so a chicken doesn't have to run very far.
Also a grapevine in the run is their summer hangout.