I got the "Bomb" solution.
.....or at least a Smokin' Gun.
9' 6" throw combined with 1.1 gain SF v.2 3.0 = 35 Ft. Lamberts
Spray or Roll applied to a 48" x 84" sheet of Thrifty White Hardboard
Screen attaches to wall via 10 Drywall screws applied through the extra area around the Screen's actual 45" x 80" viewing area The utility area is then faced w 2.5" velvet wrapped trim, or a thinner trim surrounded with White Wood Trim with Detail.
The latter would be in keeping with the nice Decor. Below is a White & Black Velvet example involving a similar installation to yours, same size...but over a fireplace.
Also one with "Wood & Velvet" but with "Piano Black" perimeter Wood Trim & Velvet Wrapped Corner Buttons with Gold Detail.
You room deserves a classy approach if the Screen is to be a Permanent Fixture, so consider these ideas.
As long as those Track lights are correctly positioned, and you utilize your PJs best possible settings and positioning, the Screen will deliver to you the splendid image your hoping for.