If you don’t mind/can use a wire, how about a headphone extension cable? I just got a 15ft Grado cable for $40. Use any headphones you wish.
I think all wireless headphones are going to be Bluetooth, minus a few like Sennheiser which has a base or whatever it’s called. I don’t know how you’d send a signal from the TV unless you have some sort of device that sends a Bluetooth signal from your tv. I’m pretty behind on these things, so maybe I’m way off here?
I just bout the Focal Listen for $130. Great over the ear phones and easy to drive. Comfy too, but everyone’s head is shaped differently.