The only Fabric that will be serviceable would be Blackout Cloth that is painted with a High Gain / High Contrast coating.
............or a solid substrate with ditto.
Your screen size, and the desire to view 3D combine with your Pj's lumen output level to limit you to surfaces that optimize every available lumen, so porous cloth like Spandex is the wrong direction to take.
If you place the HD33 at 13' 9" and stay at 120" diagonal, a screen surface that is light Gray and possesses a gain of at least 1.2 will deliver 22 foot lambert off the screen. In 3D mode that would drop to 13-14 fl. That would be the very minimum allowable if such 3D content was watched in a completely controlled (ie: totally dark) situation. You would still feel the image was dynamic...not dull.
The Ceiling treatment is very wise. That will help a lot. But at this conjecture some real thinking needs to be undertaken as to what "kind" of screen surface you really need.
On Solids, brightness and contrast enhancement can be made to be / is almost a given. "Vinyl Coated" Blackout Cloth can be brought up to snuff with the proper sprayed coating. Porous Cloth....not so much.
Be sure to be certain about all the PJ mounting considerations of the HD33 (Lens / Image offset)