There is no straightforward way to simulate a keypress event in a mayavi scene or that I am aware of in traitsui or enaml.
This is also an extremely non-traithonic way of getting the desired behavior. The right way to do it is to make calls to the tvtk interactor, asking it for the right style:
self.scene.interactor.interactor_style.set_current_style_to_trackball_camera()
self.scene.interactor.interactor_style.set_current_style_to_trackball_actor()