Although I don't have those rifles in the calibers you listed, I own a Ruger #1B in .223 that gets used for varmints, and a Browning 1885 Traditional Hunter in .38-55 with which I have shot deer, hogs and coyotes.
Both of my rifles are capable of excellent accuracy (Ruger forearm has been tweaked). The .38-55 will shoot into one hole at 100 yards with jacketed bullet hand loads.
The Ruger was easier on my pocketbook than the Browning, by about half.
The Browning is more of a pain to carry around in the woods, with its long, heavy barrel.
The wood on the Browning puts the Ruger to shame.
I have shot several deer and elk in the past with jacketed bullets in the .45-70 and have experienced what I consider to be excessive meat destruction through blood-shot. I did not get the same result with the .38-55. Your mileage may vary.
Overall, my tastes run more toward original Winchester single shot rifles, so I guess my preference between the rifles and chamberings under consideration would be the Browning, in .30-30 caliber.