As a kid in the late 1940's, I acquired my picture packs at Yankee Stadium. The Dodgers and Giants picture packs were given to me by neighbors (who got
them at Ebbets Field or the Polo Grounds).
I can't speak for the Indians picture pack, as I acquired mine back in 1989. So, to answer your question....I do not recall seeing any cardboard versions like
yours. Perhaps, Frank Ward will chime in here, he is quite knowledgeable on such stuff.
Here are some more of my pictures with associated BB cards.
These pictures were the first BB player images in the post-WWII era....and, served as source pictures for the 1947 Bond Bread cards, 1948 Blue Tint cards,
and, 1949 & 1950 Bowman cards.
TED Z