Please bear in mind, Intel does not offer Management Engine drivers for Z97 series chipset. The driver is provided by your motherboard manufacturer.
The Management Engine drivers posted on the Intel site are available for Intel(R) desktop boards and Intel(R) NUC's
If you tried reinstalling the operating system and installing the latest Management Engine Interface (MEI) drivers provided by your motherboard maker and the problem remains, I would say you have a defective MEI chip controller on the board.
ASUSTeK Computer Inc. -Support- Driver & Tools - Z97-PRO
Allan.