I'm trying to setup a share (scans) on my server for scans from various users to one directory. The issue is that I want each person to be able to see each others scans but not be able to delete each others scans. The file (PDF) permissions would be inherited from the user so each could not accidentally ease the others. Am I over thinking this because I can't seem to figure it out.

The directory share should have group ownership with all that access as a member of that group. Each uploaded file would have user permissions so another could not delete accidentally or maliciously.

You need to use "security = user" in the General section and set the sticky bit on the /scans directory.

I think setting SGID and sticky bit will solve your issue
#chmod g+s <path of scan folder> (set SGID bit)
#chmod o+t <path of scan folder> (set sticky bit)

SGID bit enable groups member to write on same folder, while sticky bit prevent deletion from others(only owner and root can delete that file)

scans folder group owner should be group which member want to access that folder.
chown root:<group> <path of scan folder>
chmod 775 <path of scan folder>

Thanks

I'm not sure why I didn't even think about the sticky bit. I guess I was over thinking it.

Thanks ninjas! It worked out perfect.