ASUS G53SN with 16GB DDR3 RAM, 2cd gen i7 quad core 3.0ghz+, 560M graphics card with 3GB GDDR5 (video ram).
Price: $1500 if you get a good deal.
That should run it on ultra but you could also get a alienware laptop such as a m14x.
This happened to a mate of mine IRL. A display wires getting caught somewhere and screwing your display up. Your gonna have to send it in for repair :(