I'm not sure I fully understand what you're describing, but you can make it a bit of a lab exercise. The pinhole to film distance divided by the pinhole diameter gives the f-stop. The film frame dimensions, the pinhole to film distance, and a little trig can provide the angle of view.
If the "9mm thick" mounting ring places the actual plane of the pinhole plate 9mm farther from the film, I'd expect that should add directly to that flange focal distance.
I happen to prefer Pinhole Designer, a utility ("app") that only runs on Windows, but on the web there is
Mr. Pinhole which uses scripts and runs via a web browser. A typical "6x6" frame generally runs about 56mm square, with that, the pinhole to film distance, and the pinhole diameter, all the numbers should fall out. Note that a millimeter or two out of 60 or more will not provoke a photographic crisis -- most pinhole camera designs can be characterized as loose!
I'm thinking if the pinhole plate is mounted in a portion of the barrel from an interchangeable lens, the plate could be closer to the film than the mount flange -- or it could be farther away. You should be able to measure and sort it out. 0.3 at the 102.8 flange focal length does indeed work out to f/343 but I've no clue what the "98mm EQ" is going on about. A pinhole to film distance of 102.8 and frame 56 mm wide should be about a 30º angle of view. I usually prefer something wider, but you may have no way to place the pinhole closer to the film without endangering a mirror or creating a mechanical nightmare.
That's my 1.3 (after tax) cents ...