kieranc is just being funny with his comment.
Pretty much all the "laser" projectors I have seen are intended for short throw scenarios (where the projector is mounted extremely close to the screen. This requires a special screen with angled ridges for deep angle reflection. These short throw projectors would not work with your woven acoustic screen.
It's only $6k, but the Optoma UHZ65LV has a normal throw ratio and a very large 5,000 lumens. Or move up to the $21k Optoma ZK750, but that is likely overkill.
If "laser projector" is a hard requirement, I'm not sure if you will find what you're looking for. If you can do a normal bulb projector, I would look at some of the higher end Sony items, such as VW715ES or VW915ES for awsome images.