A nne to ten mil hike is an awful long time to have "the rifle at ready" position. Can't remeber ever having to go that long without some ideas of when to have "rifle at ready". Over that long a period of time, you'd want to get that weight off of your neck, or , unless you've got tremendous, stamina, and wind, that will kill your energy.
I'd think attaching the butt to whichever shoulder strap you shoot from, and allowing the muzzle end to move freely might take care of that. Your weapon, nw is one w/ your pack/ruck. A QR buckle/snap/carabiner would help sparating yourself though.
The PIA, thouhg is that on those steeps, your goig to have that muzzle down at your feet, slamming rocks, and possibly tripping you up.
With that rifle not in your hands, and integral to your ruck, you risk a fall and the inability to protect your weapon.
Luck, SUL2