I don't remember seeing a gold box that was absolutely, positively shipped before early 1947. In my recollection, the postwar Masterpiece boxes are all gold, except that I may have seen one maroon K-38 box. I need to see if I can find where that memory comes from.
I have a July 1946 transitional HD and two July 1946 transitional ODs that came to me in gold boxes, but I knew the OD boxes could not have been original -- and I have come to believe the HD box is also later than the gun despite the number on it. Last year I was able to pick up the original maroon box for one of the ODs. I kind of think that all K- and N-frames shipped in 1946 went out in maroon boxes. Maybe in 1947 some N-frames began to be shipped in gold boxes, but I can't prove that from anything in my safe. I think K-frames in both the K and C series began shipping in gold boxes in 1947, as the only 1946 K-frame serial numbers I know are associated with the generic maroon boxes that have paper labels pasted on one end.
My Pre-26 from 1953 is in a maroon box, and I don't recall seeing a gold box that was made for this model. Whether they exist or not, this at least shows that some guns were still being shipped in maroon boxes after the short-action N-frames began appearing in 1950.
Here comes some heavy speculation, so break out the salt: I have long thought the gold boxes must have been more expensive to produce than the prewar boxes, what with the slightly heavier stock, metal reinforced corners, foil paper surface, embossing and colored opaque ink. The per-unit cost would drop with greater production quantities, but maybe limited sales potential reinforced the hesitancy to produce gold boxes for models that did not seem to have significant volume in their future.
All of which is a long lead-up to a straight answer to a simple question: Terry, your boxless K-22 should get a gold box to live in.