Gerd got there before me. I was going to say, MAGS is the answer. Some more info here: http://tectrade.com/2017/10/27/improve-nas-backup-performance/?bc=8
Given the infrastructure you have at the moment, you should probably be doing NDMP direct to tape, as you have no diskpool. However, NDMP is not really a sustainable solution, plus you can only ever restore the data back to an EMC filer. You are stuck with full and diff schedules, and cumbersome backup and restore jobs.
Ideally, you want to do incremental forever backups, to make the most of TSM, however, you have 2 challenges:
1) You need a diskpool. Backing up little files incrementally direct to tape won't perform well. You just need enough disk for 1 incremental backup though, as a minimum.
2) Doing an incremental backup of CIFS/SMB file shares over the LAN will take hours, and exceed a backup window possibly. That is due to the inventory scan, and has nothing to do with network bandwidth. It will be especially slow if you have thousands or millions of files to scan. This is where you need MAGS, to accelerate the inventory scan process. You can then take advantage of incremental forever backups, complete wihin the backup window, and also have the benefit of being able to restore files to any file server, without it having to be an EMC NAS.
By the way, is this for an EMC VNX or Unity? Not that it matters much.