The 1080 has really come down in price with the release of the 1080TI, one can be had for $500 now. I'd say consider choosing that over the 1070, its only a ~$70 premium. Other than that your build looks really good, I've built a similar machine last year with the 6700k and couldn't be happier with it. Your PSU is probably overkill tho, 600W is more than enough, you could propably even get a 500W tho that'd be a bit risky for me.
As for case, just pick one that you think looks nice. You don't seem to have picked a crazy number of drives or a bluray drive, so most Mid Towers will probably fit your components easily with room to spare. Personally, I got this one, but it all came down to looks and number of drive bays, and that one just won out.