Have you tried?
The largest LCD currently available it 40" by Samsung and NEC in a couple of weeks. Samsung makes the glass for both screens. The picture of both panels are stunning. Im my opinion slightly better than plasma but you will pay a huge premium for LCD's as the technology is still very new in larger size formats. If you are above 5500 ft in elevation, the only plasma screen I'd recommend is an NEC. Marantz, Dream Vision, Ronco, Fujitsu to name a few OEM NEC product but I believe that NEC is the company to actually publish elevation on their spec sheets. I believe that the LCD will not have a problem at elevation, but I do not know of any installed at elevation as of yet. NEC is going through model changes right now and it will be difficult to source product. Hope this helps.
Cheap one for $5K? Which make/model or size?
We bought our tiny 43" Samsung DLP for about $3K. Once you wean yourself off TV's overly vibrant colors and artificial sharpness, it's easy to appreciate the filmlike/lifelike PQ the DLP sets can provide. Poor man's front projector, and no need to dim the lights.