How about a mini Ryder Cup, played out between two teams of twelve (or eight, or even four) over 18 holes?
Go out as a four-ball with one pair from each team as per each captain’s team order.
The entire round is played matchplay but with four points available in total for foursomes (first six holes), fourballs (middle six) and then two games of singles for the last six.
It adds variety to the round, gives everyone the opportunity to recover from a poor start and to contribute to the team score and – being matchplay – should be reasonably speedy.
The format could be used between golf clubs, between different groups at the same club or – if each team consisted of four or eight players – on a club league basis, to be run throughout the season.