Wouldn't reccommend any sort of digital camera (Though plenty of people would, then again, I bought a very nice tiny digital camera with a huge memory stick and have yet to bring it with me any place out of paranoia), problems with either damage or theft. Disposable cameras are ideal (Once you're done with them, if you're not going to have time to get to a developer, which you probably won't during basic make sure the film is wound completely, crack the camera open, pull out the film roll, and toss the camera).
Worst case scenario, you break your dispoable, and you're out the $4 you paid for it plus a few pictures that were on it (Some may be salvageable). Break your digital, you're out a few hundred, though your pictures will usually survive.