Might have a solution
Thanks for the installation photo. Midway on the fuse between the baggage bulkhead and vertical stabiliser, either top or bottom, is the obvious place but getting in there (aircraft bought flying) is beyond me. However, I've identified a spot immediately behind the rear window, above the lap joint and F1232A might work. The connector and coax would be inside F1232A (barely visible) and could be fed through a hole in the bulkhead, down behind and then underneath the baggage compartment through to the tunnel. The mounting surface is far from ideal with the joint and rivet heads but might be doable with some dense foam rubber as a gasket, or sealed with silicon or similar. Immediately adjacent would be much better from a mounting point of view (flat surface) but would put the aerial slightly off the centre line and angled just off the vertical. Not ideal aesthetically but wouldn't affect function and I think I would get used to it.
Jack