Anti-static spray is very similar to dish washing liquid. It is just a mildly conductive coating that tends to absorb water from the atmosphere to remain conductive.

Has the manufacturer offered any suggestions?

If you have access to the bearings, introduce a little molybdenum disulfide (Often sold as lock anti-seize) into the bearings. There are various forms and you don't need much. I've had turntable platters and various belts with similar issues. I'll usually use the powder variety and apply the powder to a cotton swab, then to the bearing or the back of the belt. This technique gives me good control of how much and exactly where the powder is applied. An invisible coating does the job.

Another technique would be to introduce a "follower" to contact the blind drum and the frame. This is not my favorite technique because I must fabricate something that is conductive, stays in place, doesn't wear out quickly, and the "rub" does not disfigure the item over time (wearing a "stripe" on the surface).