I am in the design stage for the same coop too, with modifications.
For the run, I am laying down treated 4x4, and driving rebar in it to peg it down. On top of that, will be framed 2x4 wall. The end corners (the door end of the run), will have 4x4 blocks. This will be 4x4 treated wood, set in the ground and flush with the top of the sill. I will lag bolt that to the sill. I may bury the 4x4 legs of the coop, but will probably have them sit on concrete pavers.
My coop will also have framed walls. I will probably extend the four 4x4 legs up to the rafters. I have used ondura roof panels on a tree house that I made, and it is holding up well after 4 years. I will probably go with that again. I may use board and batten siding, and stain it.
How high is your center height (to the ridge pole) going to be? I guess 6'? Sloping down to what height? What about your total length from one end to the other? Looks like 16'. Those are the dimensions I am probably going to use. I have a little concern not being able to comfortably get in the coop if i have to.
A couple of other things. I am going to put my wire on the outside of the frame. Also, I will use welded hardware cloth as a skirt a couple of feet up, since it is very durable. I plan on sinking it 12 inches deep, with a 6 inches or so bent outward under ground. Predators will try to dig right at the fence, so if they do, they will meet up with the welded wire.