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bios conflict I would say im guessing at gen 3 speed on the 670 the other cards are gen 2 pcie
It could be something else but it should work
My money is on that your bios is set at gen 2 when your card is gen 3 when running with a 3570k. I had the same issue when running my 670 at gen 3 on my RIVF when it should have been gen 2. I also nearly threw it out of the window until I found the issue.
try and test with dvi vga if you can,it could be problem with hdmi
idk how you'd do that though with no monitor that has those ports
could try emailing msi and tell them the issue your having,they might send you a modded bios to test with
ohh and you have time to build outside the pc so you can test with other pcie slot
it will,while your waiting id try the above,you have nothing to lose
what speed is that slot tho? it should work in the top slot too
but atleast you got it going
seems strange
EDIT: how did you get it working? you can also dsr the gigabyte board for a refund its upto you which board you wanna keep