I'm not personally familiar with either the shotgun you traded, or the Redhead brand scope.
However, the rifle you obtained, with the best of today's .30-06 ammunition, is perfectly capable of taking any game animal in North America. The Ruger 77 is an excellent rifle, and my experience with the 77s over the last forty years has been gratifying. Good (and sometimes great) accuracy, perfect function all the way down to minus-thirty temperatures, and the rifle LOOKS right, to boot.
The only trouble with owning a good .30-06 is that when you have one, you really don't "need" anything else. The way I got around that problem was by saying that, since I do own a .30-06 (actually three of them now) it frees me up to pursue the real odd-balls....so I own a bunch of other, more-specialized rifles. Still, with my handloaded Barnes TSX bullets in my '06, I'd confidently hunt all of North America's game.
Ya done good! Whether that scope needs replacement or not, the Ruger 77 rifle is pure gold in my book.
