The carbs may have some gasoline inside. A hair dryer uses electric heating elements, which get red-hot, literally; electric igniters are used inside of natural gas home furnaces, glowing red-hot (actually, almost white-hot in my furnace), to ignite the gas -- food for thought. I would recommend against it, due to liquid gasoline evaporating, and once it is vaporized, it becomes quite volatile, and dangerous.
Tools use of a silicone lubricant is the best idea, combined with some slow, firm force, like the tie-down strap idea -- be careful of those cooling fins, though! Best option would be to wait for warmer weather, if possible, as the rubber will be more pliable. Cheers!
1979 CB750K (sold, 2012, but not forgotten)
1983 Kawasaki 440 LTD Belt Drive (sold, 2011)
1993 Kawasaki Voyager XII