Jerry
Similar. This all sounds like self-diagnosed WebMD paranoia.
A. Look at one LED monitor - get immediate headaches/migraines/eye strain lasting for a little while to days
vs
B. Look at another LED monitor - nothing
There's just something wrong with certain LED panels (response/image retention/etc) that affects certain people. I picked a monitor from http://www.tftcentral.co.uk/articles/flicker_free_database.htm and received immediate relief. You may have to select one from that list with the best specs, but you should find relief as as well. This is coming from someone who can't even take a few minutes of certain LED panels before having a 3-4 day headache.
Now if you already have health complications and migraines before, a different monitor will likely not cure that.