If you want a target rifle then get a heavy rifle, helps with the recoil. The Browning BPCR model was made for the type of shooting you want to do. But, not just any Browning High Wall is a BPCR model. Only the ones with a cheek rest and half octagon barrel in calibers 40-65 and 45-70 are BPCR models. The BPCR came from the factory with a Badger Barrel, one of the best barrels ever made. The BPCR came with a nice soule sight, great for target work. For more info on the BPCR read this book: Browning Model 1885 Black Powder Cartridge Rifle, 3rd Edition.
You will be better served by the 40-65 than the 38-55. I have rifles in both cartridges and the 40-65 is my go to rifle. Brass is easily made out of 45-70 brass. Oh, one more thing DO NOT buy a rifle with a curved butt plate.