Heh... they won't allow you to use xp_CmdShell because they think it's a security risk (it's patently NOT when used correctly) but they will let you call a C# script from SSIS?  Fascinating.

Perhaps you can do it through the command line and still be compliant with their (mostly incorrect) perception of security.  Please see the following article with the understanding that I do use xp_CmdShell for such things and so haven't actually tried to do what you ask from SSIS.
https://sqlserverrider.wordpress.com/2013/01/03/executing-msdos-commands-in-ssis/