I've a Sears KS-2 (rebranded Ricoh XR-7). I've run unperforated microfilm through it without issue. The film will ride on top of the sprockets/sprocket-wheel, but the pressure plate keeps it flat enough, in my opinion. Caveat Emptor: I'm just a snapshooter, so did no critical testing.
Winding turns both the take-up reel and sprocket-wheel; thus the film itself is not turning the sprockets, just riding along, so everything advances and cocks.
Since the film is riding on the sprockets, there may be some frame-spacing irregularity, but I've not had any overlap.
If you find a similar camera, you can even remove (file-down) the sprockets so the film rolls flat across the sprocket-wheel. You just have to make sure the shutter cocks and advance halts without requiring film itself to move any mechanism as it is wound.
I think the 828 had an "indexing hole" that a pin would go through when you advanced far enough, halting the film-advance at the proper distance (much like 110 and 126). You could simply learn how far to wind to make it to the next frame, or you could create these "holes" easier than 35mm sprocket holes. Here is a link to a similar 126-cartridge idea, but you can apply it to 828.
(there was a url link here which no longer exists)
Here is another dealing with indexing pins in cameras:
(there was a url link here which no longer exists)