I just went through this decision making process after deciding to start shooting BW after this year's Western Regionals.
In order of main gun, then back-ups, I chose:
1) Newer production (post-"JM Stamped") Marlin 1894 CSS, 357M/38SPL, which I had bought used and had had some action work done by Cody Conagher;
2) Marlin '94 Cowboy Competition chambered in 38 SPL, with only the Marlin factory action work done to it;
3) Taylors & Co. (Chiappa) 1892 chambered in 357M/38 SPL.
The '94 CSS initially gave me some fits in use, having previously used a Winchester (Miroku) '73 and a Uberti '66. Just gotta work the lever more consciously harder as compared to toggle-link actions. Also I found that it needed a really good cleaning/lubing, so I learned how to disassemble/reassemble '94s. Has since been 100% when I do my part, even with my 38 SPL hand loads.
Just got the Cowboy Comp, and was happy I could find one chambered specifically in 38 SPL. I tried it for the first time before, and during a couple of stages in my last match. Not quite as nice yet as the CSS - The Marlin "factory action job" is not as good as one performed by a Cowboy gunsmith (I knew that going into the purchase), and the gun has not been shot enough yet.
The Taylor's/Chiappa 1892... I chose to get this also as a potential back-up based on my personal general love for '92's (all previously Rossi's). I bought this particular rifle due to the high praise it had on the interwebs for its quality of materials and fit & finish, its buttery smooth action out of the box, and its lack of corporate lawyer specified safety features (no tang or bolt mounted safety, no multi-piece firing pin, no rebounding hammer, etc.)
I will agree that the quality of the wood and metal and the fit and finish are spectacular. However I must specify that (based on the rifle I purchased), its action is really no better out of the box as compared to the Rossi's I have had. My wife shoots a Rossi R92 in competition, and it has a fantastically smooth action based on the re-springing and slicking up we performed on it at home. The Chiappa is nowhere near as smooth.
So even though it cost a lot more money and is overall much nicer to look at as compared to a Rossi R92, I have to classify it as Nate Kiowa Jones classifies R92's: Unfinished as received. The Chiappa will need to be slicked up and re-sprung to be usable in competition, and then it will eventually be just as smooth as a worked R92, but it will look much nicer.
Oh, and I had bought a Henry Big Boy Steel last summer (before I got the second Marlin and the Chiappa), and, well... It will be going to its new owner next week. He is just going to use it as a range toy and for plinking, which is the best use for it. Would not be good for any level of competition as it is so heavily sprung and there are no Cowboy gunsmiths who work on them. I suppose that an industrious owner could eventually figure out some lighter springs and do some significant polishing of the internals, but the Henry will never be a good rifle to use in our sport/game (at least in my opinion).