It certainly sounds like a motherboard or CPU issue.
Asus recommends installing your DIMMs in the yellow slots. If you can get into the BIOS with just one DIMM installed, verify that your memory timings aren't set insanely fast or quick. A temporary work-around might be to increase voltage from the 1.35 or 1.5 V default by 0.1 V.
i7-4770K, H70, Gryphon Z87, 16 GiB, 980Ti, SSD, 2 HD, Blu-ray, SB ZX, TJ08-E, SS-660XP², 3007WFP+2001FP, RK-9000BR, MX518