A dragoon would be fine. You're basically shooting a .45 colt. 45 ball on top of 40 grains of powder. Don't know why folks think guns/loads that killed well 150 years ago can't do it now. You do not need the latest "magnum" whatever to deer hunt. You just need to know your limitations and be sure of shot placement. I have hunted with a replica Henry in .44-40 for the last twelve years or so and killed plenty of deer. Never had any get away. Lot of people will tell you that a .44-40 isn't powerful enough for deer. The deer never felt that way.
As for the Uberti Walker, I am on my third one. I stupidly sold the first two I had. I have no problem with accuracy out to 50 yards.