Thanks guys. Milling the mounts even a few thou did seem to be like fooling with a big, blunt screw driver inside the mechanism of a Swiss watch. But you've given me some much better ideas to check out.
I had a JP Sauer with exactly the same problem and I assumed the previous owner, (a real gun tinkerer), had replaced one of the mounts with a higher one. It was hard to look/sight down the shotgun rib, for instance. But it would let me sight the rifle in to 2" high at 100yds so I could live with it. But this Krieghoff is worse!
I should have mentioned that the Swarovski scope is of the rail type, so any shimming would need to be under the front clamp and how to do this would be a challenge for a skilled gunsmith. I'll see what joy I can get with different bullets and powders worked up,(if possible)to POA.
The scope elevation is marked ab /auf which, if you ever come across it, must I presume mean absteigend (descending) and aufsteigend, (ascending). That had me scratching my head at the range.
Cheers.