Recently I purchased another used monitor, this time with a glossy surface:
Asus VN289H, glossy 27 inch MVA panel with FHD resolution
Running it on Ubuntu, Nvidia T600 and HDMI (via mDP->HDMI adapter). Its looks good. No eye burning. Adjusted brightness and contrast to a lower level as usual.
Running it on AMD RX 550 causes a bit more stress, but not that much.
Im thinking now that anti-glare coatings may also have something to do with my eye burning problem. My old laptop had a glossy surface and caused no eye strain, the U2413 had a semi-glossy surface and caused very little strain.