Steve:
Have you thought of using an industrial hard hat? You can get an inexpensive hard hat with a winter linger that wouldn't look strange but with a liner, will provide warmth and a stable platform for the camera.
Yes, I did think of that and it would go over my hat as well. The thing that I found out is that you turn your head a LOT when snowblowing. You don't realize it but you look up and down and side to side a lot relative to looking straight ahead. In real life this isn't an issue and probably smart when snowblowing but it makes for truly awful, nausea inducing videos. 
GoPro does make a chest mount and that should eliminate many problems, but for $40 I'll pass for now.
The best thing is a vibration dampening mount IF you can find a place to mount it. I only have one small area where a GoPro could mount. I had it back pretty far. Ideally it should be more forward but then you get the chute too close. When the snow blows it will cover the snowblowers dash area. So a taller mount would be best. This is just for fun after all. Several enginners at work are having fun with this too and have come up with some amazing ideas, expensive, or bulky but they'd probably work.
"If you have more miles on your snow blower than your car, you live in New England." "If you can drive 75 mph through 2 feet of snow during a raging blizzard without flinching, you live in New England."
