330 always uses private vehicles; the one time we've ever used anything else was to transport the robot to a post-season, and that was a church van from the church that runs our school. Either that or air travel, if we're going farther than a day or so's drive.
Admittedly, we are a group of homeschoolers, so everything we've used has been a school vehicle...
I'm pretty sure 1135 also used private vehicles for student transport. It is certainly possible, regional or post-season. You just have to find enough willing parents. (I would suggest that you start finding next year's parents as soon as you start finding next year's students. Makes life much easier if the parents are on board early. Free healthy meals during build, anyone?)
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Past teams:
2003-2007: FRC0330 BeachBots
2008: FRC1135 Shmoebotics
2012: FRC4046 Schroedinger's Dragons
"Rockets are tricky..."--Elon Musk
