Get a 4k Smart TV. QHD is a really crapola resolution - you’re looking at 15 years ago tech.
For $300 US you should be able to find a 4k smart TV. And don’t worry about refresh rates - standard 60hz is fine for a flight sim.
Then stretch your budget by a teeny bit and get an Arc 770LE. I normally run the sim in an 8k x 2k window with each Arc supplying one 4k screen - tried it at 4k x 2k on one screen and it’s absolutely fluid. And it will only get better when MSFS supports XeSS, which, given the uptake and the rave reviews it has here, and the desire to be seen treating all video card platforms equally, should be sooner rather than later. Plenty of games already support it.