Try reversing the updates you have received... Windows updates, device drivers in the period just before this stopped working. As I said you'll need to go thru the drivers in Device Manager and check the events tab for any updates in the period when sthg changed.
Darn! I was hoping you had a class filter (they can cause a code 10 error). But appears you don't (and code 10 can be caused by other things too, of course)
As for you m/b, i think you inverted a couple characters. You a GA-Z77-D3H? (not a DH3). Best suggestion is checking the rev level of your board, reinstalling the Intel chipset from Gigabyte and/or trying the Intel Driver Update tool. Though many USB 3.0 controllers simply use the USB 3.0 Microsoft driver that comes with Windows 10.
Wish i had better news. Let us know if you get it sorted out. Sometimes, at least the lesson learned is to reinstall and periodically create disk image backups to fall back on when needed. G;luck
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