I'm sorry for your loss. PS3 is only $200... Sounds like whoever built your PC for you didn't know what they were doing. I've heard of old school computers being able to run the game on low setting.
Edited, Aug 29th 2013 10:38am by Valkayree
For a reasonably-priced gaming system that will run FFXIV on reasonable (though not *impressive*) settings, the following build will work well:
Intel i3-3220 CPU ($99 at Microcenter if you live near one)
Any $50 - $100 motherboard (I like Gigabyte on the low end, their stuff is generally solid and inexpensive)
8GB of Kingston HyperX DDR3 RAM
WD Blue 500GB or 1TB drive
nVidia GeForce 610 card with at least 1GB of GDDR
If you want to drop about two hundred bucks more and get really nice performance and run much higher settings, grab a GeForce 560ti card and an Intel i5-3570K CPU. The 560ti is about $100 more than the 610, and the i5 will run you less than $100 more than the i3 will.
You can also pick up a cheap 64GB SSD just to stick the game and game data on, too. Microcenter had 64GB Sandisk SSDs for $58 last time I was there.