I would say that you can.
330.10 (Uses not permitted) is not clear (to me) because it says that MC cannot be used where "exposed to the following destructive corrosive conditions", and then goes on to list "where exposed to physical damage" as one of the conditions.
I understand that to mean .... as long as it's not subject to corrosive damage, it can be run exposed.
Just a opinion
Hope this helps
steve