Can anyone recommend a good gaming laptop that would be able to run skyrim on at least high as smooth as possible because I was thinking about Alienware but they are overpriced

You can start http://www.gamesas.com/topic/1472493-unofficial-will-my-pc-run-skyrim-thread-63/ and read the OP for what to know on a good system to run Skyrim on. Of course, you can ask too

I would advise against a laptop, as they are not really designed for gaming (no matter what the description of it says)

a Desktop will be much cheaper, will last you much longer, and you will be able to upgrade it if you so wish (you can't really upgrade a laptop other than throwing in a new HDD or replace a RAM stick)

See http://www.gamesas.com/topic/1484868-the-community-tech-thread-no-135/