Personally screw the asctetics. Save the power supply money and get a 1080 or save on the case and get a 1080Ti. Sleeper builds are legit and a case does nothing for performance (sans cooling).
1070 is very powerful and efficient, you could get away with using a 450 watt power supply. if i were you i would go for a case with a basement like nzxt s340 elite or fractal design meshify/define c.