I'd also like it to be functional for school also as it would be also the laptop I'd do all my work on.
Van's link is actually quite a nice laptop, however if you want to stay between $350 and $600, look into the i3 or i5 laptops. Dual core with intel hd graphics which run sc2 on minimum (at any resolution you want) at no less than 100 fps. late-game will stay smooth as well.
I also recommend AMD's A6 or A8 model laptops that come with quad-core processors as well as discrete graphics cards (6520g or 6620g) which might be worth looking into.
Edit: the intel i3/i5 laptops will have much longer battery life than AMD's models.
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