While money isn't particularly bothersome, space is. Do you know of any way to make the tower less ginormous?
Mini-PC build is what you're looking for. Its what I've ordered since space is an issue with me too.
Off the website I linked you can get this for $1,300
Fractal Design Node 304 mITX Gaming Case
Intel® Core™ i5-4670 3.40 GHz 6MB Intel Smart Cache LGA1150
120 GB Kingston HyperX 3K SATA-III 6.0Gb/s SSD - 555MB/s Read & 510MB/s Write
1TB SATA-III 6.0Gb/s 32MB Cache 7200RPM HDD
8GB (4GBx2) DDR3/1600MHz Dual Channel Memory (Corsair or Major Brand)
GIGABYTE Z87N-WIFI mITX w/ 802.11n WiFi+Bluetooth, Display Port, Dual GbLAN, 1 Gen3 PCIe x16
AMD Radeon R9 280X 3GB GDDR5 PCIe 3.0 x16 Video Card (HIS IceQ X2 Edition w/ Double Fans)
650 Watts - Thermaltake SMART Series SP-650PCBUS 80 PLUS BRONZE Certified Active PFC Power Supply
Its pretty much the same spec I got from dino-pc in the UK. It has a better graphics card than the Alienware 51 too. Although you'd need to add peripherals like mouse, keyboard, monitor, etc if you don't already have those.