I would do something like what Schoeps sells and do a double ORTF or something like that! Its just one pair of mics facing forward, and one pair of mics facing backwards. Then you could just sync them up and do a matrix in post. Should sound pretty cool too.
A common setup for recording four channel ambient surround atmosphere material is the IRT cross, which is simply four cardioids (or supercards using less spacing between mics) arranged in a cross shape pointing outwards.
http://www.schoeps.de/en/products/categories/irt-crossIf mixing those four channels down to 2-channel stereo, you have two basic choices. I'd play with routing them both way and go with whatever sounds best. Looking at the cross from above and going around the circle of microphone channels you could route the four mics either:
Left, Left, Right, Right
-or-
Left, Right, Left, Right
The first would provide imaging somewhat more like Jecklin baffled omnis- the players on one half of the circle would image Left, and the other half would image right. Because of the cross-talk between adjacent mics on each side getting mixed together, listen for potential comb filtering problems.
The second way would image somewhat more like Blumlien, with quadrants of the circle imaging Left/Right, Right/Left, Left/Right, etc.. all the way around. The difference is there would be no reverse polarity quadrants as with Bulmlien. I suspect the second way would work best, but you never know until you actually try it.
[
Edit- fixed link. The IRT cross is symmetrical and doesn't favor any particular direction which may be most appropriate in the center of the circle. Double ORTF is similar, and could be mixed similarly, but isn't symmetrical and wouldn't have as symmetrical a playback image of all the musicians arranged in a circle. It's meant more as a forward/backwards oriented surround recording setup- basically a surround extension of typical forward facing ORTF stereo)