I have made a drone using similar motor.
Best way is to tune without any payload on the drone. Once that process is completed you should refer to input shaping prams in the tunning guide and there after share a log here.
If the tune is good only then slowly increase payload and check the drone.
Also the payload try to place it at the CG and should be stiff.
Of course if you follow How to methodically tune (almost) any multicopter using ArduCopter 4.4.x - #245 by amilcarlucas
Life becomes much easier