Iconic weapon in the movies or not, a big stick (known by many names, from a rokushakubo in Japan to a shillelagh in Ireland to a karttu in Finland) was a very common, very traditional weapon - and a very effective one too. Implementing it into the game wouldn’t even be very difficult, since they could pretty much use the spear’s animations for it - just reduce its damage on the poke, and increase it on the wild swing. It’s not accurate as far as real staff techniques go, but neither are most “game martial arts” moves. It’s something I’ve been kinda missing - not because of cringey movies, but because a big stick is a good weapon and should ideally be among the first things a wandering Exile should get. Heck, if I was Exiled I’d go for a quarterstaff before trying to get pants. (If you have a quarterstaff but no pants you can get pants from the guy who has pants but no quarterstaff.)
As for a “bow staff”… No. Just no. The sticks used to make bows are not heavy enough or properly balanced to be used as effective close combat weapons, and the sticks used to make sticks for hitting people don’t work as bows.