Hi Tommy.
Many clubs appear to run their inter CC matches through the main forums but there really isn't any need to. While it is nice that everyone can see the results as they come in and add a bit of banter you can run it just as well in the clubs own forums.
When we have a match against a club we poll our members to ask who wants to play. From those we select however many we need depending on how many the other club can field. Having a few reserves is always a good idea by the way.
After that just match the players as closely as possible according to tier and average. This is never an exact science but you know your players and who plays to their average regularly. Have them contact their opponents and set up the matches, recording the results in your club forums.
If you fancy a match I'm sure I can find a few at Bridgestone who'll give you a game :)