I've built various computers (Including the one I'm on) without any self grounds, while standing on carpet on with the pc on a wooden surface (my desk) and haven't had an issue. As long as you aren't shuffling around much you're fine.
I'd suggest starting by testing the PSU and slowly moving your way up from there and see what happens.
Given that there isn't some obvious misconnection... it's likely either
1) Damage from not having the standoffs previously
2) It's a Corsair CX430, which is known to have a surprisingly high defective rate from what I've seen
Gaming: Dual Intel Pentium III Coppermine @ 1400mhz + Blue Orb | Asus CUV266-D | GeForce 2 Ti + ZF700-Cu | 1024mb Crucial PC-133 | Whistler Build 2267
Media: Dual Intel Drake Xeon @ 600mhz | Intel Marlinspike MS440GX | Matrox G440 | 1024mb Crucial PC-133 @ 166mhz | Windows 2000 Pro
IT'S ALWAYS BEEN WANKERSHIM
Thanks for all the replies, everyone!
I eventually found out the problem. I had my PSU hooked up to the case fans, but I had done it incorrectly and it had made an incomplete circuit, so electricity would have never flown from the outlet. The computer works now.