Not sure if this helps but… I’ve been shooting with a Canon HFS200 and Beachtek for about a year with no problems, then a few weeks ago I started having the same beeping problem bleeding onto my audio tracks. I contacted Beachtek thinking it was the Beachtek device. They thought it might be my mini to mini cable and replaced it.
It seemed to work until I reassembled my kit (attached beachtek to camera to handle grip to tripod) then the problem came back. Eventually I came to the conclusion that the tiny post on the tripod plate that holds alignment was touching something inside the Beachtek and causing a grounding problem. When I removed the post, the problem disappeared.
Beachtek thinks that the post isn’t causing the problem and that I just need to switch my Ground from G1 to G2. The only problem is that I tried that while I was having the problem in the first place and it didn’t help. Beachtek then advised that I also change the grounding switch on my camera to G2, but I can’t find that setting on the camera.