OK - MHO - TWOJ or TWOK is a nice setup - very pretty beam. There is a thread on the Vf of Lux IIIs decreasing over time to reach approx the same level, so a K and J are going to be at almost the same point within a reasonable amount of use.
There are people who have gotten away with DD of the Lux III with 3 D, but a 1 ohm resistor would be dramatically better. 4 D with a 2 ohm resistor is also very good, long battery life setup, and very bright. It will also hold up much better to cold weather when the battery voltage drops.
Despite knowing better, I have damaged plenty of Lux IIIs on a bench test unit which had good heat sinking using DD and fairly short run times. There are people who have gotten away with it, but I have not been sucessful. A little resistor can save a lot of pain.