Well,
I would highly recommend a conversion cylinder . . . otherwise, you're missing out on a really important step in the "evolution" of our SA revolvers. To me it's an excellent blend of Victorian era Beauty and modern convenience!
As far as which conversion to get, it may depend more on the revolver you're going to use it in. The Remington platform makes " drop cyls" ( remove to load/ unload) easy to use and somewhat "pc". Howell and Kirst both make drop cylinders for that platform.
Now, to answer your question , the open-top platform is best "converted" with a "gated conversion" ( I prefer Kirst cyls) instead of using a drop cyl ( not to mention it's "pc" ). The best thing about converting the Dragoon/Walker is that they stay 6 shooters rather than dropping a round for the Army "belt pistol". Personally, I'm partial to the Dragoon rather than the Walker, mainly because of the additional chamber length the Walker cyl has . . . the Dragoon cyl has a "generous enough " chamber length that will allow about any bullet weight you want to load.
As far as "what" to shoot in your Dragoon, you can shoot anything you want in 45C at least up to +p 45C rounds (again with Kirst cyls). These revolvers (across the board) are an excellent support system for the cyls as I've been shooting them for many years and ( with new found knowledge) have been shooting the "muscular" rounds ( that tend to bend "run of the mill" top strap revolvers) in mine for the last year and a half. If you think you'd like to shoot that type ammo, I would suggest a close tolerance ( arbor out and reinstalled) build. All mine have shown absolutely NO signs of accelerated wear of any kind including the wedges which are perfect. The ot design is far more robust than most will ever understand. The caveat is, they must be set up as designed. If you're going to stick with "off the shelf" or tier 1 ammo you still need to correct the arbor length as a minimum and hold "endshake " to .003" maximum.
Use only tier 1 loads in a Howell cylinder.
Mike