There is really no way you will get a front projection in this price range to drive a 300 inch screen, much less a 200 inch.
Sorry, I should have been more specific when I said size. I meant surface area. So, 160" as 1.78 offers more than 250% the surface area of a 100" screen (or more than 4x that of an 80")!
The Panny's and the Epsons have at least 1,600 lumens.
All manufacturers seem to overrate their lumens, but some more than others. JVC is at least somewhat close to their stated lumens. For instance, my RS1 I believe is rated at 700, and Feierman measured 773 in best mode, 654 with low lamp with best settings, and 887 in color-accuracy-be-damned mode.
3LCD PJs are either rather dim, or pretty bright, depending on the mode chosen.
Let's take the Panasonic 4000u, now, for instance. Rated at 1600 after a quick google. *looks up Feierman review* . . . in best mode, this 1600-rated PJ measured only 430 lumens.


Now, in dynamic mode (with quick recal/compromise) it can crank up to 930 lumems, or more than double its best mode. If you put the PJ as close as possible, zoomed out max, Feierman says you can get 1235 lumens, colors be damned. (mid is 1071, tele-out is 711). He also mentioned that putting contrast maxed out to +8 can get you 60 more lumens, but I'm not sure if the last few numbers offered included that or not.
Anyways, I'm not sure I would say they "have at least 1600 lumens". But, maybe you know something I don't . . .
But I would still take a LCD projector over a DLP any day. Much better reliablility. BMX like DLP's. I hate 'em. The only one I've seen lately that caught my interest is the new Sim2 MICO with R/G/B LED light source. But of course that's a $40K projector.
For my own theater, I would likely choose LCD over DLP as well. However, for this establishment, I would likely choose DLP, as previously stated.
Of course if money was not the object here, as I stated before, I would recommend a custom stage with a rear projection screen. People moving around in front of the screen and ambient light are no longer big issues with that kind of installation. He could also have a fairly large imagewith no rpoblem. But there's that money issue again.
Of course. The RP solutions that I know of are extremely expensive. I don't know many, that's for sure, but what I do know is that it can be insane. Way too much money, way too much commitment, as my guesstimation to the OP's needs.