If you are currently building, or planning the space, then there is a lot your can do to make the space ideal for both recreation room usage and for a good front projection setup.
The rules:
Dark everything!
Dark carpet, dark furniture, dark walls, dark ceiling.
Light everything directionally!
Take the number of recessed lights, spot lights, sconces, etc., and double them if you must, but triple them if you can.
Room color and room lighting are the two most important factors in quality front projection basics. Take your room, figure out where the screen is going, then zone your lights up so that directional lighting (recessed ceiling spotlights) can be turned on over seating and separately over moving (walking) areas, and then additional lighting zone(s) for every other area.
In my basement rec room I have 4 zones of lighting. Three dimmable zones in the main rec room one closest to the screen, one in the middle of the room, and one right over the seating area. I also have a non-dimmable set of very directional spotlights right over a desk area in the back corner of the room. The room size is maybe 20x14 and has nine main lights (I should have done more) along with another 3 or 4 of the halogen spotlights over the desk.
The room is painted burgundy with dark grey ceiling and dark grey carpet.
I have no photos of that space, but this is a pretty decent example of how properly zoned lighting can leave a very solid image on screen while still providing plenty of lighting to move about within a space...
AV Integrated - Custom Audio Visual Integration In Washington DC Metropolitan Area
With a space that large, you may want to go with a 133" or larger screen, depending on where seating will be. I would recommend a projector similar to the Epson 5010. You will also need to deal with audio, and in that space, a $6K budget is not going to give phenomenal audio even if the entire budget was just for audio. So, audio will need to be addressed as well. I will say that I'm not unhappy in my rec room setup with the 8" 3-way in-wall Monoprice speakers which are a real value (under $100 a pair!) combined with a Denon A/V receiver and a decent sub.
