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Incandescent light bulbs are officially banned in the U.S.
(www.digitaljournal.com)
This is a most excellent place for technology news and articles.
There are LEDs with CCD power converter. I got one 10 years ago and tested it with a 240 fps camera, no flicker at all. I will not recommend a brand because it's been years,but search for "ccd led bulb".
Also there's a number called CRI, indicating how well it represents colors. This also may contribute to your headaches. 85 or higher is good, 90 is great. Just don't trust these numbers on Amazon, the cheapest of cheap crap is marketed as " cri 90+" there.
Or scratch what I just said and find a small store that specializes in lighting and ask the clerk (or email them).