Laurel Mountain is a good choice. But do protect the inside of the bore. Browning is rust. Not good to rust your bore.
Do degrease before browning despite instructions. Not degreasing will give blotchy results. Not a difficult task but takes several days.
However, you are talking apples and horses. If you want historically correct, leave in the white. If you want a hunter and not shiny go ahead and brown. It is your gun, do as you want with it. If the "historically correct" crowd gives you a hard time, shoot 'em.
