garyt1957 I know this will be unpopular but I think they should play 3 days of single matches, that's where all the drama and fun is, imo. If they must, play one day of teams.
The Walker Cup format uses an interesting alternative format. There are 2 days of competition, with foursomes and singles on both days - 4 foursomes matches on each day, 8 singles on the first day and 10 singles to finish.