(Not to be confused with Inter CC or CCvsCCTournaments.)
My suggestion is that 'group play' could be an option within a country club when creating a tournament.
The options would be something like an option for 2 or 4 groups, then members could be organized into groups via drop-down list by the host.
Tournaments would proceed as usual. The group with the combined best results would be declared as the winner with the trophy going to the individual with the best results of that group.
If there were credits involved they would be distributed evenly among all members of the winning group.