Unfortunately/Fortunately this problem is not unique to the NUC. In our Labs we have found that "a number" of our new Haswell rigs are demonstrating the same behaviour. The offending item is w3wp.exe which is incorrectly flagging a virtual memory condition (ie a Microsoft problem) and the new Intel HDxxxx drivers (particularly Iris) that sends w3wp.exe down the wrong path. If you uninstall the Intel drivers all the way back to the stock MS VGA driver the problem will go away or if you attach some form of "VGA terminator" to the HDMI port the problem will go away. So "headless" is the problem and its reared its ugly head many times in different ways since the Intel HDxxxx integrated graphics appeared on the market. Even Apple have had problems with their Mac Minis in recent years.
If you would like to build your own "VGA terminator" simply buy an HDMI to VGA (female) adapter on eBay. A handful of 68-100 ohm resistors from Radio Shack and assemble your own "dongle" like this The 30 Second Dummy Plug