Ok. I succeeded. Here are my stats.

Realtime Hours Played: 222
Villagers Born: 98
Villagers Cured: 157
Villagers Buried: 28
Oldest Villager: 83
Max Village Population: 65
Food Harvested: 506758
Crabs Caught 3848
Total Tech Points Earned: 778715
Tech Levels Completed: 12
Island Events Encountered: 16
Puzzles Solved: 12 of 12

Puzzle 1: 52
Puzzle 2: 46
Puzzle 3: 78
Puzzle 4: 99
Puzzle 5: 102
Puzzle 6: 124
Puzzle 7: 75
Puzzle 8: 120
Puzzle 9: 139
Puzzle 10: 222
Puzzle 11: 222
Puzzle 12: 149

Played on Fast mode with game paused overnight.
The GC took FOREVER to show up, but then wasted no time taking care of Puzzle 11. I had no major catastrophes and only a couple of times when I had problems with food. Nobody ever died of starvation. At around hour 219, I had about 15 people die for no discernable reason, but I was happy for that to happen because I was still waiting for little GC and had maxed out my population.