I bailed on HII and started using this method and haven't looked back.
LANDesk Management Suite 9.5 SP1 - Best Practice HII 9.5SP1 for DELL Computers
Basically, you build an INI file with a list of computers and a path to their drivers. Computer is queried with a wmi query: wmic csproduct get name
The tool copydrivers then does a wildcard match on the return of the wmi query and copies the drivers to the machine. Then you use DISM to install. It's not as hands-off as built in HII, but I now know for absolute certainty that the drivers I want to be installed will be installed. With that said, I guess HII isn't all that hands off either because you need to manually assign drivers if HII is pulling from another driver store that you don't want it to pull from.