Newegg.com - TOSHIBA Satellite C55-A5390 (PSCF6U-04X00C) Notebook Intel Core i3 3110M (2.40GHz) 6GB Memory 750GB HDD Intel HD Graphics 4000 15.6" Windows 8
Not the greatest thing in the world, but it'll run League and CSS, probably TF2 as well. Toshiba isn't the flashiest brand, but for the money an i3 is nice.
Unless you buy a used or refurbished, you're gonna struggle to find a laptop with dedicated graphics at that price range.