So I contacted Leon at Pendraken to see if he could make me a standard-size base with a hole in it for a dice. But Leon replied with one better -- a technology to add an integrated dice holder to any base.
These have been mounted to bases. At left, a 15x20mm 2mm mdf base from Pendraken. Please imagine a casualty figure; they will be in my next order.
At right, adding integrated status info to a Prussian brigade from 1870.
And will the dice roll away? This one is tilted to about 40 degrees. Leon is looking at ways to make the frame a bit snugger in the hopes of improving on that value. I find that the current thickness of the frame is very good for my old fingers to pick up and rotate the die; I have tried stacking the frames two thick, but found that I had trouble picking the die up. On the other hand, my arthritic fingers present special problems so YMMV on that one.
If you have any questions about these as a product, the Pendraken/Minibits forum is a helpful community with frequent visits from the Pendraken team.