Need a bluetooth speaker for a TV

My mother has had failing vision for a while now, and we finally upgraded her from a smaller 32" screen to a new 50" HDTV.

The old one had a headphone jack that we could plug a speaker into and set it right beside her chair (she's also going deaf...) so she could hear it without having to put the volume at max so everyone in the house could hear the TV.

The new TV doesn't have a headphone jack, but it does have Bluetooth speaker capability, so I need a good Bluetooth speaker that can be plugged into the wall for permanent power. I don't need portability or something that can run off a battery (which they all seem to offer anyway).

Any speakers in the sub $100 range that would be good quality for this use??? She loves the new screen, but we need to get a speaker back to right beside her chair so the volume doesn't need to be cranked to 11 or buckets for her to hear it. (Its mostly voices she cant hear well). Her eyes are bad enough that subtitles don't work out too well for her, so I'm trying to do the best I can to solve this since in the winter when she's stuck inside, TV is all she has.

Thanks for any input/suggestions!