I\'d like to disable a specific trigger on a table prior to inserting data into it, but without affecting other users that may be changing data in that same tab
Maybe Oracle Editions are useful for this purpose? Create a different trigger in another edition and change the session to use that edition.
http://www.oracle-base.com/articles/11g/edition-based-redefinition-11gr2.php#editions
I must confess that I have no practical experience with editions.