Generally, you want a 1920x1200 projector. These are designed more for commercial spaces, and they can be set to be used with 16:9 screens, so you get 180 pixels which aren't used along the top/bottom. You still get a true 1920x1080, but far more choices since the WUXGA market is far larger than the 1080p market.
Going with laser adds a hefty premium to the up front cost, but increases overall reliability. Still, you may pay a $3,000+ price difference between the two technologies, which may not make sense if lamps are $300 or so each. That's ten lamps, which may last 6 months each, or about five years. Not sure if it is worth it or not.
You also have far more choices from traditional lamp models which could cut your price in half up front. So, instead of $10,000+ for a laser projector, you can get a traditional model for $5,000.
While I have built a search around 4,000+ lumens, you really want 5,000+ lumens if it fits the budget.
By comparison, this is the 1080p list:http://www.projectorcentral.com/projectors.cfm?g=1&hide=0&st=1&mfg=&p=300&p=13000&w=&r=13&br=4000&br=40000&ll=<g=&t=&db=&dt=&c=&ar=&dvi=&wr=&pjl=&pjw=&pjh=&td=12&is=120&i=d&tr=&oop=1&sort=brt&sz=15
This is the same list in WUXGA (1920x1200):http://www.projectorcentral.com/projectors.cfm?g=1&hide=0&st=1&mfg=&p=300&p=13000&w=&r=16&br=4000&br=40000&ll=<g=&t=&db=&dt=&c=&ar=&dvi=&wr=&pjl=&pjw=&pjh=&td=12&is=120&i=d&tr=&oop=1&sort=brt&sz=15
The jump is from 18 choices, to 85!
This would be my first recommendation:http://www.projectorcentral.com/Panasonic-PT-DZ770UK.htm
It's bright, and has no issue hitting 120" from 12' away.
In fact, if you move the lens so it is about 10' from the screen, and go to their .8-1.00 zoom lens, you can get a 144" to 177" diagonal, which is more in line with what you were hoping for.
The screen quandary...
Ambient Light Rejecting (ALR) screens are awesome, but come with major caveats.
The one you linked REQUIRES the throw on the projector to be 1.5x or greater for it to work. This is because if you are closer than 1.5x it would see projector light as an overhead light, and remove it.
I would probably go for a neutral grey screen like the HD Progressive .9 from Da-Lite.http://www.da-lite.com/screen-surfaces/front-projection/high-resolution/hd-progressive-09
Plenty of framed options for that model.
You may lose a bit in contrast, but if you can get a bit closer, the wide viewing angle combined with a 145" screen (or so) will make for a very high impact presentation within your space.
This model also REALLY jumped out at me...http://www.projectorcentral.com/Panasonic-PT-EZ770ZU.htm
The price is excellent, it has a couple of shorter throw lenses which may offer greater screen size options for your space, and the use of LCD instead of DLP should actually provide better brightness and color saturation in your space.
[Edited by AV_Integrated on May 16, 2016 at 7:24 AM]
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