The syllogism you propose is quite valid, but it is not one intended under the rule you state, because you have in fact changed the minor term from C to non-C and the minor premise from a negative form to a positive one. This is legitimate, no problem.
Something about you (optional) Logician, philosopher
Thanks Avi. Actually, thinking about it, you could also do the same for a universal proposition. So 'No A is B' is equivalent to 'All A is non-B' logically speaking.