I've only been around one, built by a friend who's a near-genius machinist. He took an old 22 rimfire bolt action and installed a breech plug for a nipple and standard #11 caps, then did some pretty innovative bolt works. Yeah it's one of "those" in mechanics, but I think it's notable for his ballistic experiences.
He had poor luck with standard pellets with any powder at all. The pellet skirts blew just like an overcharged minie. The only thing that came close to working was magnum CCI caps with no powder at all.
He then switched to lead 22 caliber "BB's" that were once available for pellet guns. Those held together and shot well enough over as much as 4 grains of 4f, but leading leered its head at 5 grains and became a terrible problem any higher. Using 3 didn't help.
He ended up locating some .177 cal lead BB's, patched them with linen, and proceeded to shoot the eyes out of gnats at surprising ranges. I don't recall his top charges, but his accuracy load of 10 grains of 3f was plenty snappy.
All that tells me your project holds ballistic promise, whatever the details on your build. I'd take a hard look at available lead shot and suitable patching material before selecting the most promising actual bore diameter.