Is CCFL more hazardous for your eyes than LED backlighting? I always thought LED caused more eye-strain and CCFL was easier. Of course, any kind of rear-projection lighting is bad, but isn't CCFL the lesser of two evils?
(Agree on the other points however.)
No matter whether it is LED, LCD or CCFL, keep the brightness as low as possible, make the room well lit, and look around towards any non light emitting thing at a distance every 10 mins. I know it's not really possible but it you want to keep your eyes healthy, so be it.
A billion Chinese can't be wrong: eat rice.