I had a similar problem as yours with an EVGA GTX 780ti SC w/ACX cooler mounted inside a Corsair 'Obsidian' Series 650D mid-tower case. It turned out that the 'coil whine' was actually the window side panel vibrating slightly (sympathetic harmonics) which sounded just like it was coming from the graphics card. Slightly reducing the graphics card fan speed solved the problem but raised my temps up slightly. I found a better way was to add a double thickness of electrical tape (on one corner} between the side panel and the case chassis, which eliminated the vibration.