Jared,

For some reason Object ID does not really work.

You can try the following: Select an Event SQLStmtCompleted. Filter by Database ID as you already do, TextData Like %FROM MyTableName%, Text Data Like %UPDATE MyTableName%, Text Data Like %DELETE MyTableName%', (and whatever you may think for Insert too), Application Name Not Like SQL Profiler, Not Like MS SQLEM

You still will have some extra entries, but much less then without filtering. I excluded MS SQLEM (Enterprise Manager) because for some reason it puts the entry without any EventID or TextData even if you open another table.

Do not forget that you may have performance issues running traces.

Yelena