Ok. 21.5" isn't as big as a 27" granted. But unless you are use to a 60" TV at home, I don't know how a 21.5" screen can be considered tiny. According to most home theater experts a 27" screen requires your eyeballs to be three feet away for optimal viewing. A 21.5" requires two feet four inches. So, the 27" doubles as a great entertainment system, but kind of impractical for most desks.
As to skyrim. The 6770M card is equal to the GeForce 260 (says toms hardware guide) which is the reccomended gpu for high settings according to non other than bethesda. You should be able to play skyrim on high/ultra settings as long as you turn off AA, as anything higher than 2x AA can eat 10-20 FPS. A quad core CPU will do a lot as well because skyrim is a very Cpu intensive game.
The 27" makes a great TV. But is a silly size for a computer screen. I find myself leaning back in a chair when I try out any of my friends 27" screens as opposed to sitting normally with the 21.5"
I am waiting for the new 21.5" and I plan on playing skyrim with it. If there is no update announcement on the 12th. I will probably buy the 2011 model.