Hal and I both suggested that you purchase a few office phones that have the built-in intercom/paging capabilities.
Sure, all office systems have intercom. The easiest way would be the stand-alone phones that need no control unit but they are consumer stuff and I have no idea what to recommend. Check out Staples, Best Buy, etc. Most of these, being consumer, are not built to take much abuse. I also kinda think that some may not work without at least one phone line and of course you won't find that out until after you try to make it work.
What I would do (being an Avaya dealer) is use a Partner ACS control unit. These can be had used or refurbed. The Partner system can use any standard single line phones. Program it for intercom only on those extensions and you are good to go. I would suggest some "old style" 2500 series wall phones that will take some abuse but anything will do. The thing with any system run by a control unit is that each phone has to have it's wiring home run to the control unit. I don't know how your wiring is installed but I would think at the least, locating the control unit at the center of the daisy chain (if that's what it is) would work.
-Hal