No. Bleeding the brakes won't change anything unless you have air in the system. First, remove the drum, sand any glaze from the drum (where the shoes make contact). Also, lightly sand the shoes, too. Also, make sure you have the primary and secondary shoes in the correct position. I attached a picture I found online for you to review. Basically, the primary shoe usually has a shorter lining and is forward facing. See pic.
If the shoes are correctly installed, the springs are good, and you sanded as I previously mentioned, and it still makes noise, replace the shoes. I have had issues with certain brands of shoes / pads that sound like I'm running metal to metal until I touch the brakes. I can't list brands due to legal issues. I'm not a representative of any company, but have never had problems with brands such as Bendix, Raybestos.
Let me know what happens. I have a feeling it's the actual brake shoes. It sounds like you did everything correctly.
Image (Click to make bigger)
Thursday, February 8th, 2018 AT 7:29 PM