Done on early Windows machines could be the built-in backup (.qic format) or one of the Colorado formats. I am not familiar with the Exabyte or what programs supported it, so my idea is a shot in the dark.
If is it a .qic format, you can only read it with the backup program found in 95 and 98, possibly ME. Although some other commercial programs would/can read .qic.
So long as you have a dd copy of the tape, you are in good shape to try things out. Quick search on QIC:
Primary association: Windows Backup
Company: Microsoft Corporation
Identifying characters Hex: 56 54 42 4C , ASCII: VTBL
Program ID: Backup_Data
Related links: CKNOW QIC Info
Does not seem to match your dump, though.
Edit: If, by chance, it is a QIC or BKF format and my thoughts are not a red herring, this site has some neat information
http://www.fpns.net/willy/msbackup.htm