We don't do anything special to propane tanks or supply lines for closing or opening of camping season, we just promptly refill empty tank so we don't get caught short. We experience several months of below freezing temps with occasional bouts of sub-zero overnights and have done nothing more than close the propane tank valves which I always do when we get home from a trip.
Tank full is O.K., but we shut it off and purge lines for winter. Climate's fairly mild here but we do get freezing weather and propane will/can freeze and crack lines and regulators, especially if it's not moving through them- just like water.