I'd use 3 Burris Z rings on that Weaver base. You could even use 4 if the base cross-bolt slots allow for positioning that many on the 2X7 Burris (fine choice). Z rings are a fraction of the cost of 2 Warne rings and stronger. (I currently use both kinds). Millet also makes a ring that fits the Weaver base and is windage adjustable, I use 3 on my 45/70, but they are not as clean looking or strong as Burris.Weaver makes 4x4 rings, two seperate rings built into one.They would be least expensive. Have not tried the 4x4 but they look to have lots of surface for gripping. Come to think of it, that 460 is ported with likely not much harder kicking than a 15" Encore "06. One set of Z's are enough on that.