Sitting 15’ from TV. $5k budget

I know this is a long distance, but due to the layout of my house, it’s unavoidable. I’d also like to avoid a projector if I can.

Rtings would tell me I would need a 98-inch TV at this distance. There are a few on the market, but the OLEDs at that size are out of my price range.

So, my options are to either live with an 83” LG G4 or go with one of the mid-range TVs like the TCL QM8 or Sony X90L that I can afford in a bigger size.

What would you recommend?