I have a small question, just to clarify - was any kind of software for Intel available on the support download page, maybe for Windows 8.1 or possibly even Windows 7?
The reason I ask is t hat I personally have som fairly old audio equipment, which has no recent driver releases, and no Win 10 compatible drivers.
However I'm currently using the latest Win 7 drivers, and they work perfectly.
I wouldn't recommend using outdated software for several reasons, both for security and compatibility reasons, but for troubleshooting purposes it could be something to look into - there's a command line for Command Prompt which allows installing drivers in safemode. It could give an indication if that lets you access HD3000 specific settings or not.
It is not a recomendation really, and important data should be fully backed up. But it could possibly give you an idea if there's something to it, or if it is a dead end.
Although, with your most recent posts in this thread in mind, it seems the idea of additional software required is not the direction to pursue