I've never had an issue travelling with mine (and I've had it almost 4 years and travel to several crops each year). I usually just throw it on top of an open tote (usually the Organizing Utility Tote from Thirty-One Bags that I carry a lot of scrappy supplies in. Other times I've just put in my Crop In Style XXL as one of the last things before I close it up.
As long as you don't put it with a bunch of fibers, ribbon, or loose paper you'll be ok!
I usually stick it in a shallow 12x12 box with flat stuff underneath and small stuff (Stickles, pens, stuff like that) around it - the box is just tall enough to hold it with no room tumble about and stick to paper or photo envelopes.