Well, for looks, yes, extending the asphalt roofing would keep things looking homogeneous.
The chicken wire would work great on top of the run. As long as you can keep the coons from scaling the building and fences then the run would be fairly well secured with the 2x4 welded wire fence. If they can get over the fence or on top of the building then all bets are off as the chicken wire on top will not keep them out...they're nature's best burglars and very smart. Electric fence is a good deterrent in conjunction with good perimeter mesh fencing.
Something else is the bottom edge of the fence. An apron of either 2x4 or 1/2" fence is really important in thwarting digging predators....a piece of fence bent into an L shape with the bottom of the L facing outward and the upright portion integrated with the upright perimeter fencing. The animal walks up to the fence and starts digging but soon finds he can't dig through the buried fence....they're not smart enough to back off a piece and dig underneath the horizontal piece of fencing. Usually 18-24 inches of fence is used for the horizontal part of the L.
And....more more thing. Along the bottom of the perimeter fence people use 1/2" hardware cloth coming up a couple of feet at least...this prevents a coon from reaching through and pulling a chickens head, or wing, or leg...basically whatever it can grab...through the larger spaced main fence.
If you get the sense that you are constructing a virtual "Fort Knox" of a coop....then you're on the right track.
Ed

The chicken wire would work great on top of the run. As long as you can keep the coons from scaling the building and fences then the run would be fairly well secured with the 2x4 welded wire fence. If they can get over the fence or on top of the building then all bets are off as the chicken wire on top will not keep them out...they're nature's best burglars and very smart. Electric fence is a good deterrent in conjunction with good perimeter mesh fencing.
Something else is the bottom edge of the fence. An apron of either 2x4 or 1/2" fence is really important in thwarting digging predators....a piece of fence bent into an L shape with the bottom of the L facing outward and the upright portion integrated with the upright perimeter fencing. The animal walks up to the fence and starts digging but soon finds he can't dig through the buried fence....they're not smart enough to back off a piece and dig underneath the horizontal piece of fencing. Usually 18-24 inches of fence is used for the horizontal part of the L.
And....more more thing. Along the bottom of the perimeter fence people use 1/2" hardware cloth coming up a couple of feet at least...this prevents a coon from reaching through and pulling a chickens head, or wing, or leg...basically whatever it can grab...through the larger spaced main fence.
If you get the sense that you are constructing a virtual "Fort Knox" of a coop....then you're on the right track.
Ed