So why can't you do a turn and play two rounds? Tee off by division with open last. By the time the last open card is playing you should have the ams off the course and eating lunch buffet while you shuffle the cards to send em back out.
Added bonus is no need for final 9, everyone can just follow the last open card out there.
You can, but it's a little trickier than it seems. Someone in our club once worked it out, as a proposal to change our tournament format (which wasn't adopted).
The first consideration is how many groups there are, how spaced the teetimes, and how long it takes to play the course.
Say you've got 5 cards for one division, and are teeing 10 minutes apart. The first card comes off the course at 12:00; the 5th card at 12:40. So at that point, you re-set the groups into order by score, and send the first card off....when?
1:00, an hour after the first card finishes? Someone on the 5th card for round 1, but the 1st card for round 2, has 20 minutes for lunch. Or less.
1:40, an hour after the last card finishes? Someone on the 1st card in round 1, but the 5th card in round 2, won't tee until 2:20, a lunch well over 2 hours.
And you have to have few enough groups, or a short-enough course, that everyone from the 1st round has teed and moved on in time for the 2nd round to start.
OR, you keep groups together for both rounds. This has the undesirable effect of competitors for first not being on the same card, and thus not knowing how their opponent is shooting.
Yes, it's possible. But not easy.