Is this noise audible with the engine running or is this with engine off and 100% deadheaded? where and how is the regulator mounted? Hard lines or hose connected to the regulator? Vane pump or gerotor? Does the noise coincide with abnormal pressure fluctuation?
If the regulator is mounted to the body the sheet metal amplifies any noise like a speaker. If mounted to the intake manifold(which is popular) it transfers engine vibration to the regulator potentially affecting the operation of the regulator. I prefer to let the regulator hang from the hoses, isolating it from any hard objects or vibration.
Any chance that it is a bad pump, filter or pickup causing fuel aeration or cavitation that is rattling the regulator?
A gerotor pump and bypass regulator will always be much quieter than a vane pump and deadhead regulator.
I have a Mallory pump and standard deadhead regulator mounted to the inner fender. AN lines in and out. At times the regulator makes a vibrating type noise. Kind of hard to explain. If I shut the pump off, the noise goes away. The pumpis located at the rear of the car and is quiet when running. With engine running, at times you can hear the regulator making the noise. When it makes the noise, the fuel pressure is stable. I had it mounted with rubber spacers. Yesterday, I installed two rybber insulators from my MSD. Seems to be better, but I have not driven the car yet since doing this?