Destruction of evidence, hindering a police investigation, and so on. And unless it is done at the flash memory chip level, they could get an image of the data.
Of course, if one were the sort of person who would build a self-destructing USB stick, it would make more sense to just store part of the encryption key in a RAMDisk. Rebooting the computer wouldn't make any difference, but the rules of evidence require them to shut down the system to clone the drive, so when they ask you if you can decrypt the drive, you can honestly say, "No. You destroyed the key when you shut off the computer."
Of course, you'll probably want to have a backup copy of the key somewhere, in some form, or at least a means of reconstructing it, but because you would only use it if you actually had to shut your computer all the way down, it doesn't necessarily have to be in a place that's easily accessible, nor any place where someone would realistically look. It could, for example, involve walking around the city in a particular pattern known only to you, and typing in the text of all the graffiti you see....