You could always bend the rules slightly and draft a die to knowingly place it incorrectly in your grid with the intent of discarding it after placement.
That is actually using the rules as printed to your advantage.
Dice Placement Mistakes
If a Player’s Window is ever found to break any of the placement
restrictions, that player must immediately remove dice (of their
choice) from their Window until all restrictions are obeyed. These
dice are out of play and any resulting open spaces will count
against their score as normal.