It would be nice to have a sw .22lr top break on the line of a sw model 16.
Well good luck with that. Getting a little bit far afield here.
S&W never made any Top Break revolvers chambered for 22 rimfires. Not 22 Short, Long, nor Long Rifle. All the S&W Top Breaks were chambered for 32, 38, 44, and 45 caliber cartridges.
Tip Ups are a different story. The smallest Tip Ups were chambered for 22 Shorts, but they were tiny guns, the design is very weak, and they have not been made since 1881.
From top to bottom the revolvers in this photo are a #2 Old Army, 32 Rimfire, #1 1/2, 32 Rimfire, and a #1, 3rd Issue, 22 Short. The 22 shipped in 1870. It is not recommended to fire these old guns with modern 22 Shorts, even a 22 Short is too powerful for them.
If you want a S&W 22 caliber Top Break you are going to have to settle for a single shot target model. S&W made four separate models, I have two of them.
This one is a !st Model. It is chambered for 32 S&W but they were chambered for 22 Long Rifle too. I'm not sure when this one shipped, but this model was made from 1893 until 1905.
This one is a 3rd Model. It is chambered for 22 Long Rifle. It shipped in 1912.
If you want a 22 caliber Top Break revolver I suggest you look for a Harrington & Richardson Sportsman.
If you want a terrific S&W 22 revolver along the lines of the Model 16, look for a K-22 or a Model 17. Like the Model 16, they are solid frame revolvers with swing out cylinders.