Not sure about the angles but is it losing the LEDs at the extremes? Have you tried putting it at the bottom of the monitor and turning your trackclip so it's pointed right at the camera when your head's at rest? Alternately, put it at the top looking down at you and turn the trackclip to point at it when your head's at rest. For testing, you could just rock your headset back or forward, then figure out a more permanent solution.
Wiley.