I'd look for something that has an AMD APU in it. The CPu performance is less then the Intel chips, but it's probably the best bang for the buck graphicswise at that budget. Look for something with a quad-core Excavator chip.
Something like this:
https://www.amazon.co.uk/HP-15-ba047na-15-6-Inch-Antiglare-Laptop/dp/B01M4I8XQD/ref=sr_1_1?ie=UTF8&qid=1480800411&sr=8-1&keywords=AMD+A12
Mind you, it's an HP laptop.







