I like the idea of a 4 man scramble. I was thinking about this while reading the lengthy post, "Latest Feature Requests".
What I remember about playing 4 man scramble IRL (in real life) is a team consists of 4 players; Player A (lowest handicap) Player B (2nd lowest handicap) ect. The team posts 1 score per round only. So it might work in a bracket or speed bracket format.
I understand the issue about who on the team putts first. IRL the strategy we used was a player would putt first to gage the break and speed while the other team members watched. Usually the best putter putted last.
I have no idea if it's possible to program. It would be fun though.