Just to clarify, you ran all the component tests through the diagnostic menu and did not get the noise? If it only starts part way through the print job it could be the exit rollers, which do not constantly rotate.
If you find the information provided useful or solves your problems, help other users find the solution easier by giving kudos and marking my post as an accepted solution. I am a volunteer, offering my knowledge to support fellow users, I do not work for HP nor speak for HP.
Be alert for scammers posting fake support phone numbers and/or email addresses on the community. If you think you have received a fake HP Support message, please report it to us by clicking on "Flag Post".