Steamgift! Help me make a new computer!

Ok so like my topic says I want a little assistance making a new computer. Its for my girlfriend and she doesn't want to spend much so it has to be the cheapest of the cheap! Aside form it being cheap its gotta be able to do things fairly well such as use most of the Adobe software, Illistrator, Photoshop, inDesign, ect.

Should also be able to play League of Legends on the highest setting with no problems along with some other graphic heavy games (Deus EX:HR, Skyrim, L4D1/2) on close to highest settings.

I know this won't be dirt cheap but we are looking to hopefully keep it in the $500 range. I prefer either getting the parts myself at a local store or ordering on Newegg. The site for the other store is Micro Center and you could set the location on the top to NJ - North Jersey/Paterson. For those people who won't click links its www.microcenter.com or just google search it :p

Also before people say i'm lazy I did theory craft a computer build in the actual store and ending us with a price range of around $600. Aside from that i'm really just looking for a second opinion. Thanks in advance :p.