Hi!
Welcome to BYC! I like the idea of a hardware cloth roof, with some outdoor areas that are covered so they can be outside when it rains or snows. I think if the structure is built nicely, it can look quite nice from your deck. The hardware cloth, if you use it all the way around your coop and run, will keep the predators at bay. That being said, my run is protected by electric fence and bird netting. I do that because there are several trees in the run and a roof has not been an option until I found a place and a way to convince my DH to build one for me. They will still free range under the netting during the day, but safe at night, or in high predator times. So many ways to protect your chickens. Lots of ideas in the coop and run design forum that @TwoCrows linked.
