I wonder if given your situation, maybe a true registered short-barreled rifle might be a good solution. Have to say though, I'm just visualizing myself trying to manipulate, fire, and clean some of the guns I've owned with only one hand. I think if I had to I could run a standard M-4 well enough to at least keep an attacker at bay, but I doubt I'd make the best hits. But if you're used to relying on one hand anyhow, your proficiency would naturally be higher than my own.
I'm not sure if you think you could run a lever action just by holding it at the shoulder and quickly working the lever, but I just looked at a Henry .22LR carbine today that was pretty handy. I don't need another .22 AT ALL, but I still liked it. You might check one of them out - I think it might be easier to use and especially to clean than a 10/22. I really do love the 10/22, but I'm not sure how you'd get the guide rod and recoil spring back in with only one hand... but necessity might just reveal something that works. I know that carbine models with shorter stocks are made and so are some very lightweight barrels. One of them might serve your purpose.
Come to think of it, if you could get hold of an old Winchester Trapper or a Marlin 1894 Carbine you might be able to handle that well enough one-handed. There was also a hammerless Ruger lever action, the 96/44 and 96/22, a couple years ago that's been discontinued. I'm imagining working the lever from the shoulder, not with the John Wayne type twirling, but I admit I've never tried it.
Also, what about the FN PS90?