I have diddled with everything, in order to assess what I like. (Yeah, I even took up Crossbow, although my skill started at 10.)
My go-to config is Noble Bow, quiver, quiver, 2-handed crafted ax. I'm mostly a horse archer.
My siege config is Noble Long Bow, Quiver, Quiver, Quiver. When I want to enter the sieged town or castle, I simply exchange an empty quiver for whatever melee weapon I see on the ground.
I keep quivers of +3 and +4 arrows for myself. I note I have never seen even a +1 bolt for crossbows.
I am my warband's best soldier, so my participation is important. But my tendency in field battles is to lose track of the action when I am meleeing, so I try to stay distant enough that I can usefully direct my groups. That ax I carry is used most against routing enemy.