I would get the Rossi 92 and purchase one of the safety "delete
" kits and shoot the crap out of it to break it in. Just remove the safety and replace it with a specially made plug so the gun functions as it was intended. I'm a big fan of the 1892 action and Rossi has been making them forever. My Rossi in .45 colt is probably 30 years old and had many many thousands of rounds through it. It still looks pretty much new save for the expected wear marks in the action. Beautiful blued and wood gun.
Either that or wait for Ruger to start reproducing the 1894C.
I am sure the Henry is a fine gun but it is a newer design and I am not very familiar with it. And it is heavier too. While the 1892 and 1894 are proven designs that have been around for ages. I would probably stick with one of those. But if you get the Henry you should consider one of the side loading gate models.
The Henry guns are more or less a clone of Marlins internally.
I like the Henry Big Boy. Probably the best regardless of price. But the JM Marlins were pretty great. If you can find a used one for reasonable price. I'd look for a pre-safety model.
Get either if you want a good solid gun. The Henry with octagonal barrel is nice if you don't mind a little extra barrel weight. Either take down easy for cleaning, which is a big advantage over the 92.
The used Winchesters seem to go for too much money, especially as the Marlins were better guns.
If you want to mount a scope, go steel frame Henry or Marlin.
If you want to shoot cast, the Marlin Microgroove gives some people a challenge.
The Henrys are easier to load and unload, and the brass frame guns I believe are a little smoother cycling. They have a simple transparent transfer bar safety which I like, but may give Marlin the edge on triggers... maybe.
Rossi makes a decent 92 clone, but not very highly polished, and may be balky with some FN bullets if not cycled briskly.
Don't know enough about the rest to offer much advice, but some of the more expensive guns don't seem to be built as well.
Artificially aged the brass on the Henry. Compared with a 30 year old Buck.
Installed the stock on the Rossi, and stained it, redid the front to match (yes it's done legally), but had to remove the sight elevator and notch the rear sight deeper. Not a fan of the huge loop, and may modify it.