A possible fix is by synchronising the switch using Display.callSerially(). The flicker is probably caused by the app attempting to draw to the screen while the switch of the Canvas is still ongoing. callSerially() is supposed to wait for the repaint to finish before attempting to call run() again.
But all this is entirely dependent on the phone since many devices do not implement callSerially(), never mind follow the implementation listed in the official documentation. The only devices I've known to work correctly with callSerially() were Siemens phones.
Another possible attempt would be to put a Thread.sleep() of something huge like 1000 ms, making sure that you've called your setCurrent() method beforehand. This way, the device might manage to make the change before the displayable attempts to draw.
The most likely problem is that it is a device issue and the guaranteed fix to the flicker is simple - use one Canvas. Probably not what you wanted to hear though. :)