Even if they were allowed, I would not recommend them for beast.
In theory, yes, barefoot running is healthier and lends itself to more efficient biomechanics. No one really argues that anymore.
However, the reason why you don't see the majority of runners (myself included) using them often is because they are hard to transition into after one has been leading an entire life in traditional running shoes with heel inserts. The sudden lack of support causes the leg to do things that it has not done before, and can easily cause stress fracures and shin splints. An extreme, but parallel example would be taking someone with muscle atrophy and expecting them to bench press their max. Something will give.
Vibrams and shoes marketed similarly (Nike Frees come to mind) can be great, but have to be worked into gradually. Beast, when new cadets are pushed to their limits, is not the time to reverse 17+ years of biomechanical dependence on a heel inserts. Even if you are used to them, as mentioned before, attracting attention probably isn't the greatest idea.