How much detail do you want to get into for your trace? If you want to just look at table sizes you could run something like this
select OBJECT_NAME(object_id), row_count, GETDATE()
from sys.dm_db_partition_stats
where index_id in (0,1)
order by OBJECT_NAME(object_id)
and run that periodically to see which tables are growing (by row count), if it's growing as quickly as you say it should be pretty obvious which tables are the culprits.
Apart from that, do you have the MDW configured and running?