Time v. Money, capturing fleeting happy times...You can order a name brand miniDV camcorder online from a shop like B&H Photo in New York for a few hundred bucks. The lenses, batteries, and other accessories are readily available too.
I mean, what's your time worth? How many chances are you going to have to capture the short time you have to ski, spend with family, etc.? Why risk crappy equipment?
FWIW, I've had 2 Sony miniDV camcorders in the last 6 years, and each has done well by me and created many happy times for others when viewing. I'm sure the other major brands are good too.
BTW: One of the great things about a camcorder is getting off the slopes & playing the "dailies" with your buddies and/or family & seeing them laugh about all of the great times again on the very same day. Then, later, everyone laughs about them again when you burn the DVD & edit it to make it more entertaining. Fun stuff.