Not knowing what the lighting conditions are in the room I will assume you have some light control? What kind of time line are you talking about? Now or can you wait a few months? There were several new projectors that I viewed at CES that would meet your criteria but I have not installed them yet or had the chance to review them so I am hesitant to give you a recommendation based on that. Here are the candidates of the new crop at CES
Optoma H-79 This projector was well represented at the CES and should street at your budget. This projector was one of the best sub $15,000 Image
At CES, IMOHO
Infocus 7210 another very nice projector same as the 7205 but with the new dark chip 3.This will meet your budget (throw and drop distance may be an issue)
Of the current crop
You may be able to obtain a Yamaha DPX-1100 for under $10k because they are being replaced by the new 1200.The 1100 is very quite and will meet your install criteria
Optoma H-77 is very quite and produces a nice image (its a little dated)
Should meet your install criteria
Infocus 7205 Bright, High contrast very good optics and Faroudja processing
Reasonably quite (throw and drop may not meet your install criteria)
Throw and drop distance calculator available at
www.infocus.com
There may be other projectors out there that meet your expectations and budget