I can really relate to what you are struggling with, Mike. This is how I deal with "creativity" and "psychological stuff":
What helps me accept and release (as in let go of) the tension that causes this noisy "creativity" is to realize that causality is behind it:
Stian Gudmundsen Høiland:
It is a fact that this noise occurs only as a natural effect of whatever caused it, and these causes are now out of my control, as they have already passed, and no amount of will/volition can ever change the past.
Immediately following the realization of this
(1) grasping is released,
(2) the tension that this grasping created and fed/energized/sustained diminishes and
(3) the "creativity" subsides.
The "creativity" does not suddenly disappear but
(3.1) looses momentum/energy (as the source of its energy - the tension - diminishes) and
(3.2) eventually becomes so little that it is no longer an obstacle.
In summary and more figuratively speaking:
Grasping (whatever, e.g. a song) creates
tension (as in the tension of the muscles of a hand grasping something heavy),
tension grows over time (the hand grasps harder and harder because the inclination to grasp never ends) and
tension manifests (fatigue sets in or, more relevant to your question, mind noise or "creativity" appears) when it reaches the threshold where you can perceive it.
What causes the grasping/inclination to grasp is the missing piece in this puzzle and it is mundanely simple: habit. The habit of analyzing interesting problems, the habit of forming opinions and likes/dislikes, the habit of distracting one self, the habit of
selfing. Speculative, argumentative, rationalizing, emotional habits - to name a few.
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When I practice I don't mentally go through all of this. I have a simple sentence that quickly reminds me of it: "This is how the mind is". It means that whatever it is that I am experiencing is (1) caused by something in the past and (2) is out of my control.
(1) Fighting the past is just... down right stupid.
(2) As much as the causes in the past are out of my control, so are the effects of them in the now (this one is tough to honestly believe, but it's this realization that we're all looking for).
It is not a matter of how to "deal" with the noise/creativity or what to "do", as much as it is to "accept it" and "let it be" as it is - to
not do anything about it.