Your system is only 6 months old, so your mainboard is still under warranty. RMA it, ASUS engineers would probably want to know what happened so they can prevent it on later models.
You can exclude the GPU and PSU by re-installing your old system temporarily with the components from the new system. If the whining stops, the ASUS mainboard is at fault.
Fixing coil-whine is extremely difficult w/o a selection of expensive tools, like logic analysers, scopes and spectrum analysis displays. And even if you have these, they're of little use if you don't know how to use them and where to look and look for. The RMA route is much easier, and cheaper