A source of hum that I've experienced myself is electrical sparks at wire couplings (sorry if that's not the correct term). Basically there are places where 2 wires are connected together somehow. If moisture gets in there, it could cause corrosion of the wires to the point where they don't touch directly anymore (flow of current accelerates the corrosion by an order of magnitude. I think it was called "electrolysis", though I'm not sure). However there's some nearby spot where the wires are so close that electricity can jump the gap, so it keeps doing that (producing sparks) - which is what you hear. In this case, kicking the box would likely quiet it down, because the wires would jiggle a bit and touch directly again. Also, such an indirect contact would have a pretty high resistance, which means that your devices would have an unstable power supply (or simply insufficient). That can cause all kinds of odd side effects.
Anyways, if this is the case, you'd better find that place and eliminate it quickly. Sparks generate lots of heat. If you're unlucky enough, they could even start a fire. You should be able to identify the faulty place quickly by the rust and burn marks.