I'd still say something like a bladed fist weapon would work. Maybe even a glove that has a small blade attached to the wrist or top of the hand that they strike with. Such examples already exist with the Officer's Gloves, there's a piece of metal attached to one of the gloves. Why can't this exist as a normal thing? It's a small off-hand weapon that can be used to stab the enemy with in close proximity. And actually a bash with your bow would be possible too, look at Skyrim for instance. One of the close ranged attacks while particularly weak, is thrusting motion forward using your bow arm. It's a bash attack more or less.

You don't have to swing the bow, as cool as that could be, but punching something with your fist like that just feels a little odd.