I know you schooled theoreticians are going to hate this but I have ran white LEDs on power without current limiting, not even a resistor, for maybe a year now with no problems. I have been buying surplus LED arrays rated at "12 Volts @ 1 Amp" in desk lights for about a year. I run then at 9 Volts. They draw about 500 mA and give very adequate lighting. Just because they are rated at 12 Volts does not mean you MUST drive them at 12 Volts. Yes, driving a 3.7 Volt LED by 9 Volt battery is a bad idea, but it will run at 4.5 Volts from batteries at a shorter than expected life. The internal resistance of the battery takes up the slack.
Electronic Goldmine is a cheap source for surplus LEDs of this sort.
I make LED lighting for my survivalist family members that run on 12 V DC or 120 V AC. My desk lamp consumes about 5 Watts. The two element light above my wife's sewing machine draws a whole 9 watts. I use similar stuff in my battery backup lighting. The SLA 12 Volt batteries trickle charge at a whisper of current, about 5 mA from the 120 V line.
Electronic Goldmine is a cheap source for surplus LEDs of this sort.
I make LED lighting for my survivalist family members that run on 12 V DC or 120 V AC. My desk lamp consumes about 5 Watts. The two element light above my wife's sewing machine draws a whole 9 watts. I use similar stuff in my battery backup lighting. The SLA 12 Volt batteries trickle charge at a whisper of current, about 5 mA from the 120 V line.