Land of Snow news is mostly about various recent technological advancements, or praising the Queen, or a historical monument to the lives lost during the tyrant's reign, or the rebuilding of Kazahana Castle, or think-pieces speculating about if Lightning and Fire will go to war or just keep glaring at each other (the opinion is that since the Leaf helped the Queen get into power, obviously we wouldn't ally with Lightning, but that really we should be keeping out of any potential wars, and the Queen is wise and knows this). Snow doesn't have much in the way of international news, unless there's an outright change of leadership somewhere.
Broader news is concerned with missing people, or terrorist attacks, or the release of a new installment in a famous book series, or local festivals, or the installment of new hospitals across Fire, or what-have-you. The nation they'd fled - Land of Rice Fields - doesn't have newspapers. The Land of Water also doesn't have newspapers, but their neighbors are speculating on the outcome of them being in a civil war - which apparently went very quiet a month ago.
After an hour he can hear a steam locomotive approaching from the direction of the port they left.