When we try to get them to find Mr. Spike, we aren't just letting time go by naturally..
we make a backup of our game when she gets a proposal email (don't open it), then after the backup is make check the proposal.. if it isn't Mr. Spike, reject it, go to another family and replace your save files with the backup.
Rinse and repeat.

If you're not sure how to make backups, read the following topic:
Backing up and recovering savegame filesGood luck! This can be used to get any head, including Mr. Baldy.