My gut instinct with this is that you may have a corrupt installation usb, or something else corrupting - does the 'report crash' section appear in the same place each time? Have you tested the hardware (check filesystems with disk utility, test memory with memtest86+, run a torture test with prime95/mprime to ensure the cpu is stable etc). If your system passes all of those tests I would test the USB, or even suspect the source data - did you get your copy of OS X legitimately from the app store?
I'd likely attempt to recreate the USB, or try another one, or internal disk partition. If all that failed I would try various USB ports, if that failed, I would start to suspect the source data.
I have the same motherboard as you and I had no such problem, though I did have a problem with a bad USB stick on my first attempt, the second USB stick worked flawlessly.