Can we prevent graphics directories on linux system from being renamed or moved by users?

We (JAMA Network for the American Medical Association) run XPP on Linux. We have a graphics directory for each journal (eg, CAR_OLF_unscheduled for JAMA Cardiology, DER_OLF_unscheduled for JAMA Dermatology) that graphic artists drop eps files into. At least 20 people have access to these directories and more than half of them use them daily.

Every so often, someone finger fumbles and accidentally moves or renames a directory. Production stops, panic ensues, and managers hyperventilate because the graphics for some or all current jobs are MIA. We have always been able to find the directories and get them back into place within 1/2 hour but we would like to prevent this. 

Today a MacUser accidentally renamed the parent directory and all images were NF but this has happened before on Windows using Samba. 

Does anyone know how to restrict users from moving or renaming these directories while still allowing write access? 

These are the permissions: drwxrwxrwx 2 jmize wheel 94208 Mar 14 19:34 CAR_OLF_unscheduled

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