I've removed the ink from modern cards with solvents I had in my industrial job. 111 trichloroethane would remove darn near anything, but it's been banned for a decade and it should be. Mineral spirits will do some interesting things too.
I never rubbed hard enough to remove the white layer.
The next step is with isopropyl, or similar alchohol. (Possibly after a beer or two

)
Most inks back then were pigments in an oil of some sort. If it's shellac alcohol will disolve it, if it's something like linseed oil then mineral spirits will do it. I expect one of those +pressure to produce a blurry transfer. Generating a clean transfer should be harder. I'm thinking that just a bit of solvent might do it.
So the order of the next few tries
a little alcohol + a little pressure
A little alcohol +a lot of pressure
Lots of alcohol + a little pressure
Lots of alcohol +a lot of pressure
followed by a similar series with Mineral spirits.
By the time it's done, I figure the card will be a total write off. First time I've intentionally wrecked something old. (Now if I had one of those portable spectrometers they've been showing on the antiques shows on TV I could find out all sorts of things. Unfortunately 30K is outside the budget for toys.
Steve B