Sometimes the process of troubleshooting handling issue can be counter intuitive. For example, if too much weight is transferred off the front tire there's very little net force keeping it steering straight ahead. This condition can occurs during hard acceleration. If at the same time the light front end hits a sharp bump that deflects it sideways the forks/ handlebars will torque in that direction. This wouldn't be too bad but the wheel then hits the next bump while slightly turned and the net force then twists the forks in the opposite direction. The result is head shake. If you like everything else, try keeping more of your weight forward. Anything to reduce the weight transfer will help (reduce rear squat, slowing fork rebound, etc). Try it, you might be surprised.
Retired Mechanical Engineer, published technical writer, mscperformance.com, Bisimotoengineering.com,