You don't really need to combine a empty hand system with a armed one, not in the sense that one has to feed/play off the other.
Studies have shown ( and I don't have them with me right now), that we are very tactile creatures and that, based on touch we can adjust accordingly to what needs to be done ( Heavy touch to lift heavy, light touch to left a baby) but also HOW we do things * Touch a knife and we cut, touch a fork and we poak, touch a saw and we saw).
So, regardless of out preferred method of empty hand fighting, when we touch a blade or a stick, our mind and body ( when properly trained) KNOWS what they are and will "used them accordingly" in the way it has "memorized" the use.
Psalms 144:1
Praise be my Lord my Rock,
He trains my hands for war, my fingers for battle !