I updated the drivers, though the XFXATI Radeon HD 6770 only has one driver set for it (the 8.82). Updated up to the ATI Display driver 8.84. Now the system crash is happening more efficiently. 30 seconds into the game, the screen goes to a stripped brown and the system reboots claiming a Blue Screen error. Its nothing like the Jira report unfortunately. The game loads and displays fine. It just gets to a certain point and decides my computer doesn't like it and restarts the whole system.
Should probably note too, I'm running on Windows 7.