eliijah 
have you changed any of the setting on your video card? if your running stock video setting i highly suggest upping the voltage to at least 1.050v. I was having similar problems but i was 10 boxing at the time, freezes, artifacts flashing on screen and stuff. sucked and i looked everywhere to figure it out. finally got a tip to try and up the voltage. fixed it right away. Im running 2x gtx 580 in SLI now and 15 boxing. but no matter what from what i have read it seems the stock settings are low voltage which leads to some problems like your having. so i would download the MSI Afterburner program and maybe up the voltage to 1.050v. what brand gtx580 do you have? I have the direct cuda II ASUS gtx580 which with just airflow not liquid cooling can handle up to 1.3v without burning up. From what i have heard thats pretty high voltage to run even with liquid cooling but not really sure. Im currently running 1.15v and i have turned up the core clock and memory clock so i can 15 box with no problems.
also make sure all your drivers are up to date that can lead to a few problems but the video card u have, + ram, and processor are perfectly capible of handling what you are doing no problem, you should be able to run all screens at good to best settings as well with no problems. When i 5 box with just a single card i run all on the highest settings and have no problems at all.
i recommend checking out this quick video shows exactly what to do but i suggest just starting with only the voltage and go from there. Very good vid for people new to overclocking gtx 580
http://youtu.be/M5pLU82isFk
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