Question, here... Why are you going for a 200-yard zero? That complicates things later on, for shooting longer distances - and that cartridge will do longer distances, easily.
Why not set the ballistic chart up for a 100-yard zero, alleviate some of those issues, and use the chart to zero at the distance you have, for 100?
I have 30 MOA in the base on my .300 WIn Mag. With the Nikon scope I have, I can't zero shorter than 500 yards. It's dead-nuts at 500 yards, too. I have to use hold-unders to shoot shorter. It's 16.9 mils of dial for a mile, though. I'd zero it shorter, if I could zero it shorter. My 500-yard zero complicates things for me. I don't have the internal travel in the scope, with the 30 MOA base, to do any better than that, so I live with it/deal with it.