Stephen,
You mentioned that one of the possibilities that Jed mentioned was warm except for one detail. One of the suggestions was a watch that had all numbers except for 9, which is replaced by a seconds dial. I initially eliminated this path since no such Panerai exists to my knowledge. Maybe we should think of the reverse.
I would propose a watch that has no numbers at 12, 3, 6, 9 - like the 249 and also no numbers at 1, 2, 4, 5, 7, 8, 10, 11 like the 309. That watch would also be a Radiomir. Like the 309, it has a third party (Rolex) movement. And I believe that watch is also 47 mm. That could only be the 2533. Maybe I'm headed down the wrong path but I thought I'd put it out there.
Josh