Thanks for the quick response here guys. /sarcasm off
I've managed to determine there is some kind of conflict with Backup Exec version 10.0 and ANY SCSI HBA card that I install in this server. I removed the original HP ProLiant 64-Bit/66-Mhz Dual Channel Wide Ultra3 SCSI Controller that I had in the unit... and Backup Exec stopped failing.
So I decided to purchase a brand new SCSI HBA to see if it would work. I got an new card, slightly different model than above, with new driver, and Backup Exec proceeded to crash within an hour.
I've since completely removed Backup Exec 10 from my server, installed Backup Exec 9.1 with all patches, and it runs without error.
Please provide me with more troubleshooting steps for this issue. I have a valid Support Contract now with Veritas if that will help expedite this at all.