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+1 for Kato's suggestion, or roll off even earlier than that.
In the late 70's early 80's I rode a lot of contemporary Bonnies and Tigers back to back.
They would nearly all start a Dutch roll at exactly 98mph, not a shake or dangerous speed wobble as such, but with varying intensity depending on how quickly you got there, passenger present, road surface and so on. It would settle if you pushed through it. (But not much left @ 98 to be honest!)
I noticed that the UK spec bikes with flat bars did not do this and attributed the phenomenon to aerodynamics. The US or export bars were quite high, so I think it was something to do with the wind rolling off one side or other of the torso alternatively. Much as a flag will flutter in the wind, or a loose jacket?
In your case it might be something to do with a headlamp fairing or screen if you have one, or maybe a mirror on one side only? I imagine you already have lowish bars?
Have you tried just bending your elbows and tucking in a bit when the wobble starts, or preferably just before?
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