I think i get what you mean now, like Vincenzo mentioned:
1. Either you can use the FS iDA to do a dump of the SQL db to a folder, and then sweep it with the File System backup.
2. Or just use the SQL iDA, its Application aware, and will give you point in time flexibility restore right into the SQL DB it self/cross-server restore.
I would say go with the SQL iDA if you've got the funds its quite robust.