I looked at the mannual and it appears they have brakes in 76,81,88,99 and 107mm that fit the Neox 412. When I bought my M:EXs with 412s the bindings came with 76mm brakes and they gave me another wider set for the 84mm waist, which I assumed were the next widest size. Apparently I was mistaken. The brakes they gave seem to be the 99mm ones, and obviously the 88s would be the correct size. The brakes don't really fold back over the ski much when they are retracted, so mine 99s stick out pretty far. I have talked to people who bent the 76s and didn't have a problem, and I have other bindings that are bent more than 4mm on each side and work fine, but those fold in pretty far when retracted.
I think bending the 81s would work without problems (you are only talking about a couple of mm on each side), or maybe you can find a shop that carries Atomics and see if they would do a trade. I have not hooked my 99s but have banged them together enough that it scares me and I plan on trying the bent 76s this season.