I could not possibly recommend this but it's the best you can do for $250
PCPartPicker part list:
http://pcpartpicker.com/p/3yyBw
Price breakdown by merchant: http://pcpartpicker.com/p/3yyBw/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3yyBw/benchmarks/
CPU: AMD A8-5600K 3.6GHz Quad-Core Processor ($89.99 @ Amazon)
Motherboard: MSI A55M-E33 Micro ATX FM2+ Motherboard ($39.99 @ Micro Center)
Memory: G.Skill Ripjaws Series 4GB (2 x 2GB) DDR3-1600 Memory ($40.80 @ Newegg)
Storage: Western Digital AV-GP 320GB 3.5" 5400RPM Internal Hard Drive ($36.89 @ Amazon)
Case: Sentey CS1-1398 PLUS ATX Mid Tower Case ($19.00 @ Newegg)
Power Supply: Corsair Builder 430W 80+ Bronze Certified ATX Power Supply ($19.99 @ Micro Center)
Total: $246.66
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-04-25 21:47 EDT-0400)