Have you considered building a mini-itx gaming PC (a small case which will be very mobile), and then a cheap Chromebook for your school work?
This build includes Windows 8 Pro at the student price and will run Shadows of Mordor on medium to high settings, and it's $500 (not sure what kind of peripherals you need, keyboard / mouse etc):
PCPartPicker part list / Price breakdown by merchant
| Type | Item | Price |
|---|---|---|
| CPU | Intel Pentium G3258 3.2GHz Dual-Core Processor | Purchased For $69.99 |
| Motherboard | ASRock H97M-ITX/AC Mini ITX LGA1150 Motherboard | Purchased For $82.98 |
| Memory | G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory | Purchased For $59.99 |
| Storage | Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive | Purchased For $39.99 |
| Video Card | MSI GeForce GTX 750 Ti 2GB Video Card | Purchased For $99.99 |
| Case | Cooler Master Elite 130 Mini ITX Tower Case | Purchased For $49.99 |
| Power Supply | Corsair CX 430W 80+ Bronze Certified Semi-Modular ATX Power Supply | Purchased For $34.98 |
| Operating System | Microsoft Windows 8.1 Professional (32/64-bit) | Purchased For $69.99 |
| Prices include shipping, taxes, rebates, and discounts | ||
| Total | $507.90 | |
| Generated by PCPartPicker 2015-03-16 21:28 EDT-0400 |