Hi Brian,
I think you can probably rearrange the current schedule, but to do this you need a second plan that assigns each sheet at each draw to one of the 5 divisions. If you use the following:
Week Day S1 S2 S3
1 Fri 1 5 3
1 Fri 5 4 2
1 Sun 1 4 3
1 Sun 2 3 4
1 Sun 2 5 1
2 Fri 4 2 3
2 Fri 5 1 2
2 Sun 3 1 4
2 Sun 3 4 5
2 Sun 1 2 5
3 Fri 2 3 1
3 Fri 4 1 5
3 Sun 2 5 3
3 Sun 3 4 5
3 Sun 4 1 2
4 Fri 5 3 4
4 Fri 2 4 1
4 Sun 1 3 5
4 Sun 5 2 4
4 Sun 3 1 2
5 Fri 3 5 1
5 Fri 4 3 2
5 Sun 1 2 4
5 Sun 5 2 3
5 Sun 4 5 1
This has the following properties:
Each division has:
6 slots on a Friday
9 slots on a Sunday
5 slots on each sheet
3 slots per week
Also:
3 different divisions participate in every draw, and
pairs of divisions play next to each other in the same draw either 7 or 8 times (the optimal mixing that you requested).
Would that work for you,
Ian.