It'll work. However, seeing the width of the room and the angled ceilings, you're gonna need lots of absorption. Think fabric covered Owens Corning/Knauf rigid fiberglass panels. 4" thick 703. Here is a simple illustration. Lot's more to add, but for a quick model...it should illustrate the point. Come back when your ready. Oh, btw, this is only my opinion for what it's worth.
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bummer about the window
So how does that work? Isn't that bad - Rear of monitors pointing at window.
can you explain why I would want to leave it open to the hallway? I would get more noise disturbances from outside the room.