If it’s affordable for you, I would say take a look at the NUC Extreme kits for a living-room PC upgrade. Custom small form-factor that was designed for standard GPU sizes (check the dimensions carefully - my Sapphire 6700XT fit the specs but was still a tight fit), and it’s fairly quiet even with graphics settings set up to high.

My wife has been happily playing her games in the living room this past week, and I’ve been able to sneak a few hours in between.