The whole idea of a lighter, shorter, easier to handle in the thick rifle like a BLR does not lean towards the 400+ yard shot.
So, why not just choose a .308W?
Better access to more diverse factory loads and a wider variety of bullets to choose from seem to be an important issue since you do not handload.
7.08, .260, .243W all are good rounds. But what do any of them do that much better than a .308W in a "brush gun?"
