Doc
Also from being in the Chicago area, I 'd say all of the above on the advice.
But I'd be more concerned about some of the other electonical parts as well..circut boards, ceramic capacitors, etc.
But,going from a warm room to a 'relatively' warm car you should be ok. Figure if you don't want to be out in the weather, neither does your instrument or amp. You'd more than likely incure more damage by bouncing an amp around.
-3 when I left home this morning..so I wore my Hawaiian shirt !
G