I've been doin' tons of laptop research myself over the past year, readying for when I go to college. This is the one I picked:
It's the top of the line in the world for laptops, of course this one is above your budget, with my specifications, it's about $3,500.
As for the Compaq laptop, one of my friends had one, it was wrapped in duct tape to keep it together...nuff said...
I've never heard of Averatec, so I can't give an opinion on that.
HP is one of the lowest quality computers out today, laptops? I don't know...I wouldn't get one personally.
Of the ones you said, Compaq is the top, it may last, with or without duct tape
Here's one I recommend for you:
Sager is the maker of the top laptop chassis, and the full laptops they sell are good for the price. This one is $945, a bit over your budget, but may be worth it.
If you want a bit more color, you can look at HypersonicPC, but that's a little over $1,000, but may be higher quality than Sager.
(if you want the BEST color, that's Voodoo, with real European car paint, look at this one-)
Also check out Fujitsu, Sony, and Toshiba.