Thanks for the advice shuter. Out of curiosity want to by an $800 scope?Your scope has 80 inches of elevation adjustment, which is quite a bit; my guess is that something is wrong with your ring/base setup. Also, the Zeiss is a fantastic optic, but it's a very long scope with a huge 50mm objective. That combination is requiring you to have to mount the scope too high in order to clear the rear sight. I can't imagine you're getting a great cheek weld with high rings on that rifle. I have the exact same rifle and wouldn't be able to get a decent weld with high rings. I'd recommend you put that awesome scope on a different rifle and get something shorter and with a smaller objective to allow lower mounting on your .375. Then ditch the Weaver rings and get some low Warnes, Talleys, or Leupold QRs., using the corresponding bases for those rings. I've probably mounted 150 scopes and never had a need for windage adjustment in the rings. I would think that, if you need windage adjustment in your rings, you have an issue with the rifle that has nothing to do with the scope.
The Leupold VX-6 1-6x is a great scope, and in my opinion, 6x is plenty of magnification for anything a .375 can do (I have one mounted in low 30mm Warne QD rings on my M70 .375 Safari Express and it works perfectly). Think of it this way: 6x @ 300 yards is the same as 1x at 50 yards, which is no problem on any big game animal. It also has more than twice the field of view that your Zeiss at low power, which could come in very handy on the kind of critters that .375s are often pointed at. Many other scopes would obviously work as well. Just my .02...good luck!