I managed to make a pretty awful smelling mix the other day by shaving with a tobacco and bergamot soap (which smells great on its own) and then applying Trumpers sandalwood skin food (which also smells great) afterwards without rinsing my face properly. Tobacco, bergamot and sandalwood dont smell good together!

Something you could do is apply the Nivea balm to the areas you've shaved then apply the bay rum to the sides of your neck where you havent shaved. Thats what I do with the skin food: I apply the skin food to the areas I've shaved and then AS to the sides of my neck. Works great!