Probably more that you want to know but here you go-
As a general rule you want to place mics so as to eliminate reflections off nearby surfaces. You can do that in several ways- the most obvious is placing them far away from all reflecting surfaces. Other choices are using the directivity of the mic to reduce pickup of reflections by orienting the microphone so its direction of minimum sensitivity points toward the direction of the reflection. For a cardioid pattern mic that minimal sensitivity direction is directly to the rear of the mic. A third option is placing them very, very close to the surface, preferably flush with it. That’s the boundary-mounting thing which is less complicated to do with omnis and difficult with directional mics which need the vents on the rear side of their diaphragm to be unobscured for correct operation.
The best bet for cardioids is getting them far enough away from other stuff so they work right. Your best bet in this situation may be affixing a wire or rod or something to the bulkhead (coat hanger wire might work) so the mics are mounted a foot or two above it in open air. Direct reflections off the bulkhead surface should be mostly directed forward, not up. You could also make the support arm project forward from the bulkhead and rely on the rear rejection of the mics. In that case, farther away is better, if you can’t get them very far, then using more spacing between mics to allow less angle between them so their low sensitivity region points directly towards the surface behind might help, but you will need some ‘breathing space’ for the vents and cardioid pattern to work correctly.
Omnis are more applicable to mounting directly to a surface (boundary mounting) and might actually be a better choice in this case if you have a pair. When placed directly on the surface they will no longer be omni-directional, but hemispherical, with the pattern extending perpendicularly from the surface- which behaves sort of like a cardioid pickup pattern facing away from the wall. Besides being easy to mount that way (space them apart and gaff tape them to the wall), there are other advantages which boundary mounting provides. If you have omnis, try it. This situation sounds like a perfect one for it.
If your bulkhead is wall-like with a flat top edge and a square corner edge between the front and top surfaces, you may be able to mount your cardioid mics in a spaced A-B configuration (the typical omni configuration- spaced apart but pointing directly forward) by gaff taping them directly to the top edge so that the front face of the capsule is effectively flush with the front of the bulkhead, yet the vents in the mic body are still open and unblocked- they would only be blocked along the tangential line were the capsule contacts the top surface. You’d need to be careful not to block them with the tape. That will semi-boundary-mount them and avoid delayed reflections off the surface by getting them as close to the surface as possible, and point them in the right direction. It has a decent chance of working in this case because of the edge mounting situation.. Can't guarantee it will work but should be easy to do and worth a try. Closer together with a bit of angle might work too as long as the face of the capsules is pretty much flush with the front of the bulkhead.
Cardioids can not be boundary mounted to the center of a surface so their pattern extends perpendicular to it like omnis, but small ones can sometimes be successfully attached to a surface so they point across it. Instead of the hemispherical pattern a boundary mounted omni would have, that creates a half-cardioid shape favoring the direction in which the mic is pointing. Some directional boundary mounted directional mics from AT and Crown work that way but they are specially designed to do so. But that wouldn’t work in this case because the half-cardioid pattern would be pointing 90 degrees away from the stage.