not too pricey, steady recording, durable, hassle-free
If you are snowboarding at high altitude or plan to fall, you want to stay away from hard drive based camcorders. You should ALWAYS stay away from DVD based camcorders.
That leaves flash memory or miniDV tape. The only way to capture steady video is to not he hand-held. Humans were not built to be rock-steady. Obviously, you cannot use a tripod or mono-pod but you really should try some sort of steadying device… For flexibility, I would suggest either a traditional camcorder with AV-in (the Sony DCR-HC96 was a good one, but no longer manufactured). I didn’t spend much time looking for a camcorder with AV-in for you – not many have this capability, but my thought is you want this feature so can use a helmet cam – that way your hands are free to use for snowboarding.
There is no stabilization available in a consumer camcorder – electronic or optical – that will provide you "steady recording". There is no such thing as a "hassle free" delicate consumer camcorder – or any other electronic device – that you will be taking to the snow (and potentially getting wet). The low-end "waterproof" cams will not provide "high quality", have small lenses and small imaging chips and will result in unstable/shakey video (whether handheld or not).
Camcorderinfo.com may help you find a camcorder in your budget range that has AV-input for the helmet cam…