I absolutely understand, but the trouble is that you aren't paying a premium for the convenience alone. You're paying a premium for the convenience and half the performance.
You're looking at spending at least $1700 on a gaming laptop, but here's the thing. Gaming laptops, ALL gaming laptops, have serious issues. It's very difficult to dissipate heat in such a small form factor, and because of that, the power of the parts is highly limited. They perform about as well as a gaming desktop half their price.
I would strongly, strongly recommend building a gaming desktop for $1300, which is going to absolutely trash a gaming laptop, and then buying a $400 laptop (Again, chromebooks are awesome for this) for school and web browsing in bed. You can build a gaming desktop that's tiny, easy to hide in an apartment, but that still has the power you're looking for, and still have the convenience of a laptop.
If that doesn't work for you, I strongly recommend you check out the Razor Blade. Still doesn't have nearly the gaming power, but it's sexy and will get you a lot of looks on campus.