From everything I've read on this thread and from your description of the problem, I think the pump is not pressurizing, thus it keep running.
Now, what is keeping it from pressurizing.
The first possibility is, the pump itself is leaking air. I had this happen to one of my previous trailer pumps. It turned out the screws holding on the pump wheel had backed out. There was actually only 1 screw holding the cover in place. Unfortunately for me, 2 of the screws were completely missing. I had to buy a new pump.
Second possibility: The check valve that stops the water from returning back to the fresh water tank is not working. The pump is literally cycling water from the fresh water tank and then right back into the tank. The system never pressurizes to turn the pump off.
Third possibility: The pump itself may have gone bad. Simply, it's the pump itself, the pressure regulator to turn it off, is not working, so the pump just keep spinning.
Fourth possibility: You have air in the water line somewhere not allowing the system to pressurize. However, if there are no leaks and everything is working correct, eventually even those air pockets will pressurize and the pump will eventually shut off. Think of how pressure tanks work, and that air pocket in the top of the water heater? This is not a likely cause, but stranger things have happened.
Fifth possibility: You have an actual water leak. But if that was the case, you'd have something flooded somewhere and you'd have water running across your floor and dripping from under the camper somewhere. If you have no water spewing anywhere, then is probably not the cause.
My best guess is, the water pump itself need replaced. For some reason, even if the pressure regulator is working correctly, it's still getting power. It's not shutting off the power completely between cycles. If it's "humming" that means eventually the motor will burn itself out. You can go to any RV dealership and get a new one. They are pretty easy to swap out. If it were mine, that's what I'd probably do. (only because I did have a water pump problem once before that did something very similar.)
Good luck!