One of the things I learned to appreciate early on about single actions is the way they handle recoil. They make heavy loads a real pleasure. I don't have a SBH, but wouldn't hesitate if I wanted a .44 mag. I like the Blackhawks in 4 5/8" for carry. They're as light and handy as a S&W mountain gun and one heck of a lot more stout. They can handle much hotter loads in .45 Colt, my chosen big caliber. In .44 mag, I'd say six of one, half dozen of the other, but I still like the single action Rugers for their weight vs. strength. To carry a DA as strong, the gun is going to be heavier to tote. Besides, I just prefer single actions afield.
I'm not sure what your Beretta weights, but I know there is no auto caliber short of 10mm that'd match a magnum revolver afield and the revolvers, especially the Blackhawks, tend to be MUCH more accurate. I prefer adjustable sights, too. I have marks on my elevation screw that match my light load and heavy load, easy and quick to adjust for what I'm carrying. Vaqueros are neat, but an outdoor gun needs adjustable sights to take advantage of load versatility, if you want to effectively shoot specials in that .44. There really is no need for an autochucker out on the trail. It's disadvantages in accuracy and power hinder it and there's no need for high capacity or quick reloads in the woods.
I have one auto I have carried afield, a Ruger P90 with a very hot +P .45 ACP handload, but even that +P is a pip squeak load compared to .357 magnum and up. It's just that the P90 is unusually revolver like accurate and there's not anything big and toothy in east Texas where I was carrying it. I worry more about the local low lifes up there than anything with teeth and claws.