so your just trying to setup a webserver and be able to access the files and modify them?
apache is a web server so you will be able to access that anywhere in your network.
http://yourserversip/ and so on
and for files just use winscp.
The FC6 box can just sit there and server as a webserver or a mailserver or anything else
and you can setup vnc if you want to access the desktop.
also setup ssh so that you can just use an ssh client putty to ssh into it.