I think it's more the brightness. Any screen at any distance hurts my eyes(phone, tv, laptops, etc). The brighter the screen the worse it gets. Been dealing with it for over a decade now so I've tried many things, some of which have helped a little like Gunnar computer glasses, eye lubricants, different monitors with matte screens, different lighting...
I work from home so I can make the room as dark as it needs to be but probably not a good idea since the screen would appear brighter. I don't do any graphic work, mostly browsing the web and reading so resolution isn't too important.
I just bought 2 projectors from Amazon to try out. Hopping I can set them on my desk in front of me and project the screen on the wall about 17-20" away. We shall see.
These are the 2 I ordered(couldn't post links)
WOWOTO H8 Video Projector DLP LED 1280x800 HD
Mobile Pico Video Projector Portable Mini Pocket Size