Well, using an aliphatic type glue like Elmer's or Titebond, your pieces should be fitted together as perfectly as possible, and there won't be much of a glue line showing.
I like Titebond II or III. I know it holds well. I got a stock blank that was busted in the fore end. I figured I could glue it back together, it was a clean break with the grain, so I did. Screwed it together so that it was in the right position and clamped the far out of it. After it had dried, I cut off a slab from the side (which would be cut off anyway after the barrel was inletted), and whacked it against the bench top repeatedly. It broke. But not on the glue line. I turned it around and grabbed it by the other end and whacked it some more. Finally, it broke again, but not on the glue line, so I was satisfied with the bond.
I can't say I've ever had that much success with any kind of epoxy!
I need to learn how to use hide glue.