I know the feeling I can't bear coil whine neither (Sapphire 290X, KFA² GTX970 two awful cards I had about this).
My build is focused on silence and I'm impressed by the Gigabyte Aorus, OC at 1740Mhz (turbo goes to 2050) when I play I just hear the normal sound of the card, what it is supposed to do, I can barely hear the fans and that there is power into it, it might come from the VRM but clearly it's a regular sound and not coil whine or any irregular irritating sound, my next graphic card will be a Gigabyte for sure.
I think the best is to get a refund and change the brand if like many you don't play with fans at maximum, you have more chance to get the nice pick. Read great reviews too to make the good choice.