Adrian, here's a fun little flight of fantasy for you-
The ultimate version of this:

Could be an F6 featuring XLR inputs on opposite sides, combined with two of those m/s mic pair sets directly attached to it and facing in opposite directions, forming a mirror imaged arrangement. Substitute 8020 omnis as Mid channels in place of 8040 cardioid, and turn the orientation of setup 90 degrees, so that the mics extend out to the Left and Right. In that orientation the Mid/Side pairs become front/back oriented rather than left/right. That allows you to dial in any polar patterns you like for virtual near-spaced mics pairs facing both forward and backward (each M/S pair becomes Front/Back oriented rather than L/R).
Such an arrangement would emulate the Schoeps's KFM360 developed by Jerry Bruck, except without the sphere baffle:

..which was strongly influential to the first oddball recording setups I put together upon joining TS a couple decades back, specifically designed for what you are doing in addition to providing an all-in-one setup for recording musician workshops that I could place in the center of a circle of musicians. The construction of which originally brought me to TS 25 years ago. It was designed to be placed on a table or the floor which eliminated the need for the bottom half of the sphere, and was simplified to using two boundary mounted omnis without the fig-8s. I never added fig-8s channels placed coincidently with the omnis, even though that was the ultimate original design concept:




I quickly moved on from using that particular rig, yet still use a variation of it in couple of my long employed rigs that are arranged in essentially a similar manner, except for employing four omnis evenly spaced around "the central baffle" rather than two. In my own flight of fantasy each of those four boundary-mounted omnis gets a miniature fig-8 placed coincidently with it, creating an 8 channel arrangement of four M/S pairs facing in the cardinal directions. But practical realization of that fantasy rig awaits the development of a yet to be actualized miniature fig-8. That's the unicorn.
/fantasy