Sold the snowblower when we moved to the new house (much smaller driveway and the driveway faces South, so no need for a snow blower) but for the 9 years I had a snowblower I'd always top off the tank and run a little bit of Sta-Bil in it. AFAIK there was no way on mine to shut off the fuel so rather than run the carb dry I'd just run it until I was sure there was some sta-bil in the carb. It always started right up when I needed it.
I did the same thing with the new lawnmower in October, I guess probably some time next month I'll see if that worked out as well but there's no reason to think it won't.
I only winterized a bike one time, that was in 2003 when I lived in Wyoming. But it stayed winterized with Sta-bil for 20 months (September 03 to April 05) and fired right up when we put a battery to it and pushed the starter. So I guess I'd say I'm a big believer in the value of sta-bil.