A good thing you can do is take a look at the LED backlit monitors at Costco and Sam's Club in your area. I bought my Samsung monitor there for a great low price and you cannot really see the "gray" in the daytime. At night with a totally dark room, of course you can see some light, but as far as I know, all the monitors including the high-end ones are like that. LED backlight doesn't change over time like mercury lamps do. A mercury lamp monitor will have the white areas look quite white at the beginning, but a year later, it will probably be that usual less white (just as with laptops) if the monitor is on a lot. LED backlit monitors are amazingly lightweight and thin compared to the mercury lamp ones.
The Samsung website had a downloadable monitor calibration software and I used that to adjust the monitor level to appropriate accurate colours and contrasts. I suggest that you look at each brand makers' website to see if they have a downloadable calibration software to use with their monitor. I don't know if the Samsung one will run if you have a different brand of monitor connected. With all the anti-competitiveness going around with corporations, I wouldn't assume otherwise because there is no need for them to help any user that doesn't give them profit. My samsung monitor doesn't have a room sensor, so it doesn't automatically adjust the settings based upon room light. My expensive Sony does so it avoids the so-called "gray effect" at night as well as not being overly bright due to using daylight settings.
Shiny frames do not bother me. When you are looking at the bright video, the brightness causes your eye to not see the shinyness. Well, in my case I don't see the shine. And at night, you certainly cannot see the shine. Anyways, I watch the video, not the frame in any case.
