I'm not familiar with the mics you mentioned, but I've had Nak guns and Senn ME66's, so I'll answer from my experience with those, thinking this is generic to most shotgun mics (if I'm mistaken I'm sure somebody will correct me).
The polar pattern varies considerably with frequency... at low frequencies, it is almost cardioid, but at high frequencies it's really focused. I suspect the ones you have follow that trend to some extent.
General starting point for running guns is "point them at the outside of the stacks".
Speaking only for myself, if I had only one Schoeps, and a bunch of Beyers, I'd run a pair of Beyers rather than one of each. If you can run 3 or 4 channels, a pair of Beyers outside the stacks, the Schoeps pointed straight ahead, and an omni, and play with a mix at home.