[Dad1279]

It's a little more expensive, but you can use 2 AM sprockets & a hub, bolted together. For example, 22 tooth use 2 AM S35-22 & 1 AM0096

Edit: posts above while I was writing. I wouldn't call it "fishy engineering", multiple sprockets are bolted together often, for example, many 6 or 8 wd drivetrains have multiple sprockets bolted to wheels to power adjacent axles.