I can recommend a couple of very capable laptops that are in your price range, both of which have an i7, good keyboards and hdmi out--no touchscreens however. If you prefer a 17" screen check out the ASUS N56VZ-DS71 http://wuggee.com/laptop/asus-n56vz-ds71.html
2.3 GHz Intel Core i7-3610QM
12 GB RAM
1.5 TB hard drive
Nvidia Gefroce GTX 660M
The MSI G Series GE60 http://wuggee.com/laptop/msi-g-series-ge60.html
has a smaller screen size at 15.6" but also comes with a very capable NVIDIA Geforce GTX 660M graphics card. Anyone of the two are very good notebooks for the price.