I have a similar setup (UD3H/2500K) and have had no problems running a MSI 6870 Hawk.
There are a few options in BIOS/UEFI for disabling internal graphics when a GPU is detected, and which to use on boot and for the primary display, but these shouldn't stop the PC from booting. Does your PC complete POST (so you can access the BIOS options) or is it completely dead?
Assuming you have a decent ~500W+ PSU, and have connected the extra 6-pin power connectors to the GPU, it should work. Can you try the card in another PC, or try another card in your PC? Otherwise it sounds like a faulty card, or possibly the PCIE slot.