In those cases, it's always better to have a CD with some security solutions stored. Don't know how many can be burned in a CD and executed with the app complaining about it can't write to disk, though. Or resort to online scanners, Kaspersky, TrendMicro's HouseCall or the same NOD32 are pretty good. Unfortunately, except HouseCall, all of the others are ActiveX based, so it may be a bit difficult to run in a pest-infested environment. Anti rookits, like AVG, F-Secure, or Panda (those two are only available in sites like MajorGeeks or Betanews, as they were discontinued). Scanning tools like HijackThis or expert tools like GMER, DarkSpy or IceSword will do a better detective job than Process Explorer.
At least now you know how to protect your friends better. IE7 with common sense is pretty secure, but add browser protection tools like SpywareBlaster or SpyBot to avoid scumware sites. Even adblockers like AdMuncher can suppress those damn redirections and storms of popups. A good antitrojan like AVG Anti-Spyware could come in handy too, and it has a free trial before becoming a simple scanner. NOD32, despite what they say of it, it's not watertight, like any other security tool, despite being the most resistant tool to process termination. So, a multilayered defense is better, at least for peace of mind.