Sounds like maybe the water line is leaning/vibrating against the wall when you run the water and/or some air is getting into the CG's water system hence, into your lines which will also cause vibration until the air is purged. Could be a clamp holding hoses has come loose somewhere. But, no leaks is a good thing.
I just re-read your post, could also be icy slush running through the lines since it's that cold in the AM.
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