I do not see inductor as better solution than simple resistor. I would just make 3-channel system with individually programmable voltages and timing for each color, obviously with (inrush) current limiting resistors to drop like 3..5% of voltage on each string. Not for god's sake 30%. It is not needed to increase voltage specs of whole system just because someone here in the forum said that ballast resistor shall drop 30% of the voltage which for high power LED's shall be considered as insanity.
I said: at least 20-30%
for good current regulation (against Vf variations through temperature and unit variations). This may or may not be important. For a low-duty special effect equipment, a 20-30% efficiency drop might not be a problem at all. For a general purpose LED lighting fixture, it would be an environmental disaster IMHO, so I understand where you are coming from.
Yeah, don't follow my advice blindly, do your own analysis. 20-30% drop was based on my own work on time-of-flight imaging where exposure consistency does matter.
Of course, if current regulation is unimportant, a no-resistor-at-all, limited-by-bondwires approach is often just fine. Or as you say, a few percent of the supply voltage. If you just need light for some photographic trick photo and have enough dynamic range in the imager, and are not expecting predictable exposure within a few percent, and your duty cycle is low and you are confident you are not killing the LEDs on unpredictable overcurrent, by all means reduce the waste power in the series resistor.
You may even be able to choose the FET so that its Rds(on) temp coeff compensates (at least partially) for the LED Vf temp coeff, regulating the current! This can be a neat trick.
You may even
want the current to increase with increasing temperature (within reason; kind of controlled/anticipated "thermal runaway"), because LEDs produce fewer photons per coulomb at high temperatures, so you may want to increase the current with temperature to keep the light output constant. If you want this, then use a resistor "too small".
Of course, all of this babble is just about finetuning a simplistic, easy approach which, by definition, will be inaccurate in light output. I'm assuming this is good enough for the OP.
As a general note, I have seen that the very short pulse handling capabilities of LEDs often tend to be better than specified, but the efficiency does go down, so increasing current a lot has diminishing returns.