I would check upper and lower triple bolts for tightness, too.
You gotta lift the front and spin the front wheel and see if you notice anything. While the front is up, grab both forks and see if you can move them front to back, and sideways - any noticeable looseiness would contribute to your problem.
Also, if you dropped your front by a lot while leaving the rear at about the same height, you drastically changed the bike's geometry to be more aggressive, i.e. less trail, i.e. less stable.
I wouldn't bother with the damper for this specific problem. You shouldn't have a headshake even if you don't have a damper.
Also, what could give you a clue is the frequency of the headshake. If let's say at 50 mph the front tire makes 10 revolutions/sec, and you get about the same frequency of the headshake, then the source of the problem is the tire and not the steering.
The difficulty is that a minor irregularity of the tire can be aplified by the aggressive steering geometry.
Let us know what you find out.