GSV shows a road hump with double-yellow lines beyond the loading bay, then a long pay-by-phone/permit holder bay. In the other direction there are double-yellows up to the road junction, but what seems to be a bay off the carriageway. There is no sign for this, and several GSV views over the years show parking is at least tolerated there
The only approach I can see, is to submit representations on a non-confrontational basis, based on your narrative, emphasising you are a BB holder. They may give way, but its their call. I see nothing in terms of a slam-dunk win at adjudication, unless somebody on here suggests a collateral challenge based on council management of the enforcement process.