Anyone's mini throw up this video pattern?

Question

Brand new Mac mini 5,1 running 10.7.2. Randomly, it will crash every few hours and throw up this semi-checkboard pattern on my monitor, which is a Samsung 2333SW.
The dark areas are approx. 2" x 2" and they're made up of a series of horizontal 1/4" lines made up of vertical lines or static. Kind of looks like a bar code. If I'm doing something with audio, like listening to a podcast, when the crash occurs the audio screeches and sounds a bit like old dialup modems but 1,000 times worse. I have to reboot to get the computer working again.
The monitor has DVI-D and VGA, so I'm using Apple-supplied adapters. I've tried HDMI-to-DVI and Mini DisplayPort-to-VGA. Same problem. I've also tried different resolutions. I've reinstalled Lion. I've reset the SMC. All software and firmware is up to date.
The monitor works with other Apple computers, though they're running 10.6 and 10.5.
It may be coincidence, but the one possible consistency is the pattern appears during seemingly minor tasks - browsing the web, listening to podcasts, sitting idle in the finder, playing music, etc.  It's occurred on a fresh install where I haven't so much as changed a system preference. But I've watched movies all day during holiday break and the issue never popped up. I've played games for 4-5 hours without issue. I ran iTunes for an entire day with the visualizer running and had no issue.
Any ideas or similar experiences before I bring it in to the Apple Store? Thanks.

Answer 1

Thank you for discussin,  jtlipowski!
I've been mistaken - i use not smcFanControl, but FanControl 1.2   I'm going to deinstall it and use smcFanControl.
But before this I set fan to 3600 RPM, let me see what will happen.
Do you use APC PowerChute Software? It's very interesting - when i used it Mac mini never  crashes like this. But this software overloads CPU very much - the load of CPU increases from 5% to 90%. And the temperature raise significantly and no Fan Control could not reduce it. So i turn it off, but the problems with this crash appears.
Could it be due to bad temperature heat removal? May be it's necesary to check th CPU cooling system...