I find this a problem with my LED-backlit LG monitor. It's ridiculously (by which I mean, blindingly) bright at full brightness, but anything below and the imperceptible flicker gives me migraines. So I have the choice of impossible brightness with no flicker, or acceptable brightness with headaches.
I don't get why LED bulbs need to flicker though - the bulbs don't dim, and if they're providing steady light, they should be operating permanently. If it's a heat production problem, the bulbs need heatsinks, not PWM.
I've found a vast array of modern tech to be completely unusable for me because of this. I can stare at the CCFL-backlit screens on my workstation all day, but a few minutes of my home monitor is enough to send me straight to bed in darkness.