I almost finished virtually building my PC on pcpartpicker (mini-ITX) but I am yet undecided on which 7850 to choose?
Overclocking is a non-factor, as for my needs any 7850 will be MORE than enough. I just want the quietest video card, as this is going to be a living room PC.
Yes Sapphire is a classic for Radeon cards they usually have very good efficient fans.
I also heard a lot of good things about newer MSI and Asus models, apparently they can run even a tad bit cooler & quieter than Sapphire (but I don't own one, so ask owners to confirm or do more research). I also heard the Gigabyte triple-fan setup is very efficient but I'm not sure about the noise.