I have an older Sony TV. It was a pain to make it usable (a lot of settings and additional quirks). I don't know about current gen models, but if I had to try a different TV, I'd look at Sony models first, because judging by reviews they seem to care more than other manufacturers about the backlight flicker. Not throughout their lineup though. The second thing I would try look out for is that the backlight is kind of violet. I think a violet backlight may be less harsh when compared to regular blue light. A hint that it is violet is the presence of Quantum Dots or at least "Triluminos" (assuming this term still guarantees the panel at least partly using Quantum Dots). However, I think I have also read that manufacturers try to cut costs by using a regular blue light backlight with Quantum Dots, so that's probably bad. You can check for Quantum dots (even if not advertised explicitly) with a portable $10 spectrometer. I think if there are Quantum Dots, the spectrum should have extremely thin lines for at least 1 color (on my TV it's the color red) instead of a continuous spectrum.
So far that covers 2 problems: backlight flicker and light spectrum. However, there's nothing we can do about inherent Android (version) eye strain and little about dealing with other shenanigans - like, the TV hard-codedly switching to PWM if the screen content is black - I solved this by installing a clock app that permanently displays the current time in a corner, which turned out to override that behavior - or slightly, for no other reason than bad engineering, changing the backlight flicker upon switching input channels or video modes.
I strongly recommend that if you find a usable TV, you make sure to never upgrade the OS. I set the TV's Internet gateway to 0.0.0.0 so that there is no Internet access but still LAN access to install apps via Android Debug Bridge (ADB) for example.