See if this would work. If u fear with the heat simply change the R9-270 to GTX 750 ti, since the 750ti is much more power efficient. But my idea is based more on performance.
PCPartPicker part list:
http://pcpartpicker.com/p/G2G3mG
Price breakdown by merchant: http://pcpartpicker.com/p/G2G3mG/by_merchant/
Benchmarks: http://pcpartpicker.com/p/G2G3mG/benchmarks/
CPU: Intel Core i5-4440 3.1GHz Quad-Core Processor ($179.99 @ Newegg)
Motherboard: ASRock H87M-ITX Mini ITX LGA1150 Motherboard ($98.98 @ SuperBiiz)
Memory: Kingston Fury Black Series 8GB (2 x 4GB) DDR3-1600 Memory ($64.99 @ Amazon)
Storage: Seagate Barracuda ES 1TB 3.5" 7200RPM Internal Hard Drive ($55.26 @ Amazon)
Video Card: XFX Radeon R9 270 2GB Double Dissipation Video Card ($144.99 @ NCIX US)
Case: Cooler Master Elite 120 Advanced (Black) Mini ITX Tower Case ($29.99 @ Newegg)
Power Supply: Corsair CX 430W 80+ Bronze Certified Semi-Modular ATX Power Supply ($29.99 @ Newegg)
Total: $604.19
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-06-05 17:09 EDT-0400)
or this
PCPartPicker part list:
http://pcpartpicker.com/p/DXqqBm
Price breakdown by merchant: http://pcpartpicker.com/p/DXqqBm/by_merchant/
Benchmarks: http://pcpartpicker.com/p/DXqqBm/benchmarks/
CPU: Intel Core i5-4440 3.1GHz Quad-Core Processor ($179.99 @ Newegg)
Motherboard: ASRock H87M-ITX Mini ITX LGA1150 Motherboard ($98.98 @ SuperBiiz)
Memory: Kingston Fury Black Series 8GB (2 x 4GB) DDR3-1600 Memory ($64.99 @ Amazon)
Storage: Seagate Barracuda ES 1TB 3.5" 7200RPM Internal Hard Drive ($55.26 @ Amazon)
Video Card: EVGA GeForce GTX 750 Ti 2GB Video Card ($119.99 @ Newegg)
Case: Cooler Master Elite 120 Advanced (Black) Mini ITX Tower Case ($29.99 @ Newegg)
Power Supply: Corsair CX 430W 80+ Bronze Certified Semi-Modular ATX Power Supply ($29.99 @ Newegg)
Total: $579.19
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-06-05 17:11 EDT-0400)
If your living room isn't that small u could simply build a mirco-ATX desktop, that would be better to reduce heat. Tell us what you think.
BTW I forgot the optical drive on the build but it's only 15-ish in local store it shouldn't be an issue