I switched out from my ATI 4870 to the on-board 3200 and the logo is no longer frozen: it moves. I cannot tell if the OS is actually loading or not though. I will try and leave the computer on for a while to see if anything loads further.
I fixed it just yesterday. It turns out my system was just unstable due to my motherboard requiring me to figure out what the factory settings were for my CPU. I don't think I will ever buy a overclocking-based motherboard again, it has just been a huge PITA.