Pro/ENGINEER has some longstanding and complicated issues with various video card and driver combinations. Sometimes just changing the driver solves this. (PTC publishes recommended configurations that are extensively tested; everything else is a bit of a gamble.) Are all of the video cards from the same manufacturer, and maybe using the same driver release?
The sudden crash is a peculiarity of Pro/E...you're doing something, and then it just sort of blows up and disappears. Most programs will hang or display other symptoms before crashing, but Pro/E almost always just vanishes.
Unfortunately, unless something has changed recently, the student editions are relatively old datecodes (i.e. occasional releases) of Pro/E, and don't get updated along with the versions on maintenance contracts. So if it's a bug in Pro/E that's causing the issue, there's not much that can be done about it.
I do wish that FIRST teams had the opportunity to get maintenance releases—I'd happily report bugs to PTC, in exchange for a more stable platform for FIRST teams to CAD on. (That always seemed like the fair thing to do with PTC's university donations; I've reported a couple that were acted on and resolved, with the fixes—as far as I know—implemented in later datecodes.)
That said, if you're still having problems, and have done your due diligence with troubleshooting on your own, there's a direct line to PTC for FIRST teams: contact either
Mark Fischer, who uses the PTC_FRC account on ChiefDelphi, or Scott Morris, who goes by skotmorris on ChiefDelphi. They're both PTC staff and familiar with FIRST.