You can do this with permissions and links. Here is an outline of one way to do so. You can change the directory names I use in this example to whatever you want.
Lets say that your NAS is mounted as /data. Create a root-owned directory in data, lets call it users. Set the permissions on /data/users as rwxr-xr-x. Then in /data/users create a directory for each user on your system. These directories are chowned so they are owned by the user and (if desired for privacy of the users) are given permissions rwx------ For simplicity I'll use the username as the directory name.
For example, you have users tom, dick, and harry, the commands so far are something like this:
sudo mkdir /data/users
sudo chmod 755 users
cd /data/users
sudo mkdir tom dick harry
sudo chown tom:tom tom
sudo chown dick:dick dick
sudo chown harry:harry harry
sudo chmod 700 tom dick harry
Now in each users home directory, create a symbolic link to their directory on the nas. You can use any name you like, for this example lets call it storage
sudo ln -s /data/users/tom /home/tom/storage
sudo ln -s /data/users/dick /home/dick/storage
sudo ln -s /data/users/harry /home/harry/storage
chown the links to the respective owners if you like, so they can rename them, or the users can just create the links themselves using any name they like. If desired the link can be put on the desktop or anywhere else in the users home directory, and the user can have multiple links pointing to his/her directory on the NAS. For all normal purposes the links can be treated and will appear as a directory to the user but the actual physical location of the files will be on the NAS.
One possible caveat: When using the gui to drag & drop files in/out of the linked directories, copies will be made in the target directory and the original file will remain where it was. This can be a little confusing if you don't expect it. OTOH using "mv" on the cli works as expected. Also when files are deleted from the nas directory, they are really deleted; they won't be recoverable from Trash.