That Hull E looks big enough to stow away on with no one the wiser. If I fly my Aurora up to the back of a cargo crate and mag-clamp on to it, can I tag along wherever the Hull E is heading?

Good to see that you're already imagining the Star Citizen equivalent of Marty's skateboarding in Back to the Future! The short answer is that yes, anything you can fit in a crate (Aurora included) can be carried by a Hull E. We expect to developed 'manned' modules as well, if you'd like to travel on a Hull as a passenger.