OK, so for the last 24 hours I've been attempting this and I've only reached 18,432 flushes. I'm starting to think that I might just give up.
Square are evil for devising such a complicated revival process. It's almost as if they never intended her to be revived...
I've worked out if I managed to hone my time down to 1 second per flush... then 100 years from now I will have acheived 3,041,280,000 flushes.
You know what, I'm just gonna leave it.