With all the "noble" and "high" stuff about Aragorn and the Dunedain, I still think it's impractical for them not to bring little bows for hunting, especially if their quests include watching borders, and in Aragorn's case, catching Gollum. Those kinds of tasks, well, they are done in the wild, and in the wild, you can't really just bring barrels of salted meat or other preserves, you have got to know how to hunt.
Did Faramir and Co., upon meeting Frodo and Sam, really use bows to ambush the other Men, the men under Sauron? If they did, I think it's safe to assume that their kinsmen in the North also used bows, although not mainly for war.