ROG! However the lowest priced G75v is the Best Buy Version for $1250. (Assuming your in the U.S. not too sure about pricing in other countries.) So it's a little over your budget, but you get so much more for the money compared to what you would get with an Alienware. I'm not going to say anything negative about Dell or Alienware as I have had Dell computers in the past and have not had issues wih them.
For 1200 bucks you could get a M11x or M14x but the specs are not going to be as good as with the ROG for that price.
Asus also made this laptop pretty easy to upgrade memory and Hard Drive, so you can do that in the future if you want to as well.
Anyway good luck with making a decision and purchase! I love my ROG!
Asus G75VW-NS72
Intel Core i7-3720QM 2.6GHz
16GB DDR3 1600MHz
750GB 7200RPM + 256G SSD
Nividia Geforce GTX 670M 3G GDDR5
Blu-ray Burner
"Right...very creepy. Forget I asked."
-Alistar DAO