One way to check for a ground problem is to do a voltage drop across the case and a known, good, ground. A copper water pipe, or concrete floor are some examples. The circuit tester is definitely a lot easier, and they are good to have around anyways, but if you have a voltmeter and want to do the voltage drop test, I would be glad to explain it in further detail.
Also, are you sure it is not just static buildup on you being released to the grounded case? Also, are you using a power cable with the middle ground prong plug still attached? If so, is it plugged into a true grounded outlet (without one of those grey converters)? If a wire was loose or stripped and touching a properly grounded case, the PSU would short out, and turn off, not turn the case into a Van De Graff generator.