Yeah a bit of luck never does any harm :^)
Very often if I haven't missed a green to that point I take on the cowards shot. Aim about 6-8 feet left of the pin and play the shot as previously described. The ball will then run across the green right to left, as opposed to front to back. This gives you a lot more green to stay on, so to speak. That way if you're playing it in a blitz you keep your consecutive greens hit bonus going.