Hi Chris, welcome to the Cameralabs forums!
I must admit, I've always wanted to attach a camera of some description to an RC aeroplane, but I'm afraid I have no experience of doing so. But some of our work and tests could still be useful.
First things first though - while I am a minor camcorder enthusiast, I don't test them professionally, so can't give you any definitive buying advice. That said, I do personally rate models by Panasonic, Canon and Sony to name three.
Stabilisation on camcorders does work well against human shakes, although I'm not sure how well they'd iron out vibrations from an aircraft. You may have to do some tests there.
If weight is a major issue, you may wish to consider using the movie mode on a digital still camera. It won't look as good as a proper camcorder, but could give you lots of flexibility.
I've posted this link before, but still love this video taken over Lake Powell using a Pentax Optio digicam mounted on an RC plane. See:
Video quality on still cameras has also improved since then on the best models. Most of Panasonic's models even record uncropped 16:9 video.
If you like the idea of recording onto memory cards using a lightweight camera, you could still go down a high quality camcorder route though. Many new models dispense with tape and record direct to cards.
Then again if you're worried about damaging the camera, maybe a budget tape-based camcorder is the way to go.
Not sure I've been that much help there, but please do come back with any other Qs - and I'm sure I'm not the only one who'd like to see photos of your plane with the camera kit attached - and maybe also some video posted on youtube too!
PS - on a slightly off-topic note, if you like RC aircraft, check this out!
My only complaint is that it didn't land on a model aircraft carrier!