Sorry to bring up an old thread, but I had this same problem with ny 2017 Les Paul Classic . I tried everything here listed, dryer sheets, cleaned it with naphtha, waxed it and even ordered all parts cover plates which were recommended by someone else. None of that worked. I finally ordered some shielding tape. Started by shielding the cover plates. Nope ...it didnt help. Finally shielded the control and switch cavities and guess what? Worked like a charm. No static whatsoever.
This problem was not a humidity issue as the humidity has been no lower than 45 percent at any time. Apparently Gibson is aware of the problem , but dont offer a solution at this point. I was on the verge of selling that guitar I was so frustrated, but glad I took the time to try everything because its the best Les Paul I have ever owned.