Elite: Dangerous is supported without any software or drivers. You can map headlook to the analogue axes of the EDTracker directly. This is done within the CONTROLS screen.
Make sure you configure a key or button to enable headlook ("TOGGLE HEAD LOOK"); you will need to press this once at the start of your game to turn headlook on, or otherwise set the HEADLOOK DEFAULT STATE to "ON".
Set HEADLOOK AXIS MODE to DIRECT and do NOT use ACCUMULATE.
Turn off MOUSE HEADLOOK.
Do not bind the EDTracker to LOOK LEFT/LOOK RIGHT/LOOK UP/LOOK DOWN - these are for use with buttons. You want to bind the EDTracker to the "LOOK UP & DOWN AXIS" and "LOOK LEFT & RIGHT AXIS" settings.