I'm not at home now and this machine is not running properly, it's really slow.
I'm sure I've seen a noise comparison test with graphics card, possibly in UK magazines PC Pro or CustomPC.
When I get home I'll find a link for you if I can.
Take your time and do lots of research on the case. You need to be thinking about an upgrade path and bear in mind that you will be living with the case longer than it's contents.
Also think carefully about case fans as these can affect both cooling and noise levels. I'd recomment Sharkoon Silent Eagles.
They shift a lot of air and are very quiet. I have seven in my case and all I can hear is the GPU fan, which is why you need to look at a review that talks about noise levels on the 580. I believe the 580 runs much cooler than the 4 series so will not make as much noise but I'm not sure on that so check it out.