Chris,
My dad has an AR10 as well, and I believe he's been swapping one of his Springfield Armory scopes and rings between it and a new M700 in 338 WSM. If you're interested I can see what rings he's working with, I know the 1 piece Weaver style 20 MOA base is a Ken Farrell, which he gets from Sinclair.
The Farrell base is really nice and also a bit higher in the one piece than the others too, I'd recommend a 1 piece 20 MOA base ($42.50 Sinclair) and set the scope up in the rings to use on both if you need to. Wright down what MOA it takes to rezero when switching it from one to the other and repeatability with a sighter shot or two should work fine.
I'm pretty sure he's using Leupold QRW rings he got from Sinclair too, but I'll check if you want.