The bigbluebutton project does something similar wherein they run red5 as its own user, you could modify this information to use the apache user instead after installing red5.
chown -R root.root /usr/share/red5
chown -R apache:apache /usr/share/red5/log
chmod 755 /usr/share/red5/log
chgrp apache /usr/share/red5/webapps
chmod 775 /usr/share/red5/webapps
You need to adjust the paths, groups, and users to fit your installation. I am assuming that your user and group are named "apache". The final part of this is to make sure you start red5 as the "apache" user; this will most likely require a change to your startup scripts.