Finally, a TL-2 LED thread! I've had 3 of these from back when Brightguy had them on clearance. Love mine, and the wife has turned down many other lights in favor of her TL-2 LED. Hers is on a neck lanyard.
Tech wise they all had 4.0 ohm resistors, and nothing else. Tailcap current with the supplied Strealight batteries varied from 400 to 470 mA. The module could be opened, and a smaller resistor installed. BUT...
With 2 cells which measured 5.97 volt open circuit, 0.53 volt of "sag" ocurred during testing. Current was 450 mA. With 5.44 vDC actual input, the LED is seeing about 3.64 volts, for a power input of 1.6 watts. I'm not sure how much you want to bump that up.
Considering the performance of the later regulated generation, I see little point in modding these, although the rechargeable option sounds great. What I really appreciate about the older TL-2 LED is they lose output very gracefully at the end, and provide useable light even when current is down considerably. I like mine too much "as is" to bother "improving" them, but would be interested in hearing what might be possible.
OTOH, the resistored TL-3 LED is fed a conservative 3 watt input...
Paladin