The front of our yard is open right now. DH fed everyone that morning, went to the gas station for a moment, came back to find the hen hit in the road. She had just eaten and our yard is deep with the birds at the back, so there was no reason for her to wander. I went out later and looked and found the new tail feathers my turkey had just grown on the ground looking like they'd been crushed. Found a couple of feathers from my mallard, too, only she was hiding under a trailer and wouldn't come out. The other two turkeys were freaked out. We had been letting them all out a lot to range, since they never go very far in our yard. Needless to say we will be installing a new fence as soon as we can get the money set aside.
Sounds like your on the right track. Plastic poultry fencing will keep your birds safe while saving for a good fence. Plastic fence will keep your birds in and some preds out if put up well.