It seems to me that drones have been portrayed in the media as completely unstoppable death-robots akin to the Terminator, only better. XYCD sums things up pretty well:
After recent operations in Mali, a list of Al-Qaeda's tips to countering drones was found and published in the Telegraph. Most of the list is some variation on "Run and Hide" but there also seems to be some ideas for techniques to try and jam the signals that control the drone and even a suggestion that snipers could take out a drone, a la the newest, Bourne movie.
All told, the best tactic for drone dodging seems to be "don't be Al-Qaeda."
Lucky for me, figuring out how to beat drones is more of an intellectual exercise or though-experiment for my in-the-works action movie script than a real life-or-death dilemma.