Update after all these years:

It turned out that the magnetic shielding did not work at all. I finally found a solution shortly after this post. I just strapped down the DICE box module with a several plastic ties near the connection area really tight and left the module in the same place. The whining noise never came back since. The hiss noise is to a very, very minimum. If this works, make sure the module is stabilized in a good area with no movements.