Once you got the radio working you could use a signal generator to shoot a carrier at it at each of those dial numbers and mark in pencil on a paper taped on the dial where they fall, scan and transfer to your computer model. This would be an interesting one to do.
Possibly work the numbers in "white" which is actually blank as we normally print on white paper, and then print on gold paper from the crafts store, the gold showing through as the numbers on the printed reddish or brown (can't tell from the photo) background.
I had a lot of fun recreating that Firestone dial but it was all rectilinear and done in MS Paint, if you can believe that. One of my graphics-savvy sons said, "Dad, you did that in Paint? That's like doing it with a rock!" Indeed. I'll have to get a better program like that Inkscape and practice on it.