I've met Pete. Unfortunately their solutions don't handle the parallel nature of what we're doing. They have essentially written an Eclipse plug-in if I recall correctly.
Also, as I understand it, you're asking for solutions to the wrong problem. While any sort of project planner would be an improvement over scheduling in Word, the reason you don't use that already is a certain rigidity in how EVAs are planned. If that rigidity were overcome, you'd be able to use a simple project planner, and you'd also be able to use a much more advanced solution that ensures that no tasks collide.