Building dedicated streaming PC

[dsr07mm]

CPU AM3+ AMD FX-6300, 3.50GHz BOX Black Edition 32nm

AM3+ 970 Asus M5A97 R2.0, PCIe/DDR3/SATA3/GLAN/RAID/7.1/USB3

DIMM DDR3 4GB 1600MHz Kingston HyperX Fury Blue CL10, HX316C10F/4

600W LC Power SuperSilent LC6600 V2.2B (I've tested this in FX8350 with 79503GB worked fine, dont complain please )

Now my question would be what is the cheapest GPU which is better then HD5670 512MB (which I currently have on old PC for 1440x900 resolution with low-medium details in new games) ? I'm really looking for something under 100$.


Games which would my wife play on that PC are Dota 2, Rust, Minecraft, Dead Island and couple more coop games. She doesnt care about graphics so I just need better then HD5670 512MB to avoid 30-50fps
Thanks !

Note: I have HDD and I have case so I dont need those 2.

 

[Vojin]

Sapphire r7 250

 

[AquinoX]

If you can go $15 more, go for the GTX 750.
http://www.amazon.com/gp/product/B00IDG3NDY/