I recommend the 4 foot, not 3 foot fence. The fence being soft helps because the chickens can't fly up onto it, then over. I do have the occasional escapee, but usually it is my leghorns. The bigger breeds you mentioned should do pretty well.
To put your DH at ease, I used this fence to rotate...
I haven't found any "deterrents" other than a covered run that will really discourage a hungry hawk. So far, they are the only predator that routinely strikes here. Luckily they only seasonally pass through my woods, and seemingly don't really live here. I still lose a few birds every year to...
Electric netting seems made for what you are trying to do. I also have and recoomend the Premier 48inch. I have the solar charger, it has been going strong for 2 years