I have a Marlin 39a that I shoot Smallbore Cowboy Rifle Silhouette with. There are 4 guys who are good shooters and always do well in all of the other silhouette games who bought Golden Boys when we started this game. None of them have ever placed 1st, 2ed, or 3rd in any of our matches or practices. The winners are always the Marlins and Winchesters. No one has a Browning so I can't comment on them.
That being said, My daughter-in-law wants to start shooting with me and if she does, I will probably buy her a Henry, because of the cost. If she is serious she can scrimp and save and get something else, if she wants it, later.
I have also thought about trying the Henry 22 mag for the Pistol Cartridge, Cowboy Rifle class. It would be a backup gun to my 357 Rossi 92. When I travel to matches I like to have a backup gun for each class that I shoot in.
Sixgun