Steinberg backyard
If I was building my own house, I'd go contemporary like this. But this image still provides some inspiration. I like the trellis detailing. I also like the asymetry between the roof and trellis, and it reminds me that you were looking for a potential asymetrical solution...maybe the roof is only plastic on one side and metal on the other?
I like how the large stone breaks into the geometric pattern so that natural conflicts with the man made.
Q