If you were able to check the power you don't need to jump it (run a PSU while not connected to anything).
I'll suggest looking over the motherboard for any obvious signs of problems such as burnt areas (focusing on the VRM - that area between the I/O header and the CPU - there is a line of MOSFET's there) and or leaky capacitors. With all you've done and checked, it's most likely the motherboard.
This article can help identify the VRM (if needed) http://www.geeks3d.com/20100504/tutorial-graphics-cards-voltage-regulator-modules-vrm-explained/2/ (you can ignore that it's specifically about graphics cards, the layout is similar enough)