Here's a build for you.
I included a 25" 1440p IPS monitor as well as a 21.5" 1080p IPS monitor. I'd recommend ditching the 21.5" one, use the extra money to pick up headphones/mic for streaming.
Included an i7 processor and 16GB of RAM to better handle streaming requirements.
Pickup the CPU and HDD from MicroCenter.
PCPartPicker part list / Price breakdown by merchant
| Type | Item | Price |
|---|---|---|
| CPU | Intel Core i7-4790 3.6GHz Quad-Core Processor | $249.99 |
| Motherboard | ASRock H97 Anniversary ATX LGA1150 Motherboard | $67.98 @ Newegg |
| Memory | G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory | $36.00 @ Newegg |
| Memory | G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory | $36.00 @ Newegg |
| Storage | Samsung 850 EVO-Series 250GB 2.5" Solid State Drive | $95.45 @ OutletPC |
| Storage | Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive | $34.99 |
| Video Card | MSI Radeon R9 390 8GB Video Card | $313.98 @ Newegg |
| Case | NZXT S340 (White) ATX Mid Tower Case | $68.99 @ SuperBiiz |
| Power Supply | XFX TS 650W 80+ Gold Certified ATX Power Supply | $74.99 @ Newegg |
| Monitor | Asus VX228H 60Hz 21.5" Monitor | $129.99 @ Best Buy |
| Monitor | Acer G257HU smidpx 60Hz 25.0" Monitor | $264.34 @ B&H |
| Prices include shipping, taxes, rebates, and discounts | ||
| Total (before mail-in rebates) | $1417.70 | |
| Mail-in rebates | -$45.00 | |
| Total | $1372.70 | |
| Generated by PCPartPicker 2015-10-07 11:56 EDT-0400 |