Original poster ask for recommendation on a top break "shooter".
To shoot hundreds or thousands of rounds you need a top break pistol that is durable. Problem, for this S&W Group, is S&W stopped making top breaks in the 1920s and my thoughts are a "shooter" needs to be newer.
I personally turned to top breaks manufactured after the 1960s for shooting. That limits the field to Uberti and Harrington & Richardson.
22 RF: I like H&R Sportsman 999
38 S&W: I'll choose H&R 926 or 925 (Might break my own rule get a S&W Perfected)
38 Special and larger: Uberti
What ever you do; remember this, if the barrel is not marked with a cartridge designation consider it Black Powder era.
Good Luck