I have been rather unhappy with my smart TV's functionality as I feel it isn't smart for me but smart for the manufacturers. I just can't use it how I want to. I would love to overwrite the existing OS from Android to Linux. I've recently converted from Windows and loving Mint.
I haven't read too much regarding Linux smart tvs as my searches mostly come up with raspberry Pi and overwriting an Android box. I don't want to connect anything and just want my tv to boot up in Linux when it's turned on, and get some of my apps going. Is there a way to do this?
For reference I have a Sony Bravia with Android installed on it.
Answer: get a "dumb TV" (or more cheaply: a SmartTV you don't grant internet access) and tape a fanless N100 PC to the back. They're far more capable and responsive than the cheapo processors that come in a SmartTV and just as silent. They're going for well under $200 these days, and run Linux very well.
The "dumb TV" options are few (there are some but doubt their panels are as good), so the only "real" options are to go with the second option you gave. Depending on the size needed, PC OLED/AMOLED monitors are probably the best option pared with a HTPC or whatever other box. Sucks that a lot of the larger ones are also becoming "smart."
For screen sizes over about 42", yes - there are few "dumb" options. Basically, you end up in the computer monitor market and you end up paying 2x-3x for the same screen performance. I spent a weekend in a rental home with a "Smart" TV just now, it confirmed for me I'm glad I spent the 3x to have a "dumb" monitor with a PC attached. For one thing, the remote controls now do voice recognition, and they were suggesting YouTube videos related to the conversation in the room - without having activated the microphone button.