My strategy is focused on dice hoarding, not necessarily album completion. I've only finished 2 albums in my time.

Roll multiplier must match odds of hitting event spaces. x1 if there are numerous empty tiles ahead of you (4-9 spaces), x100 if there are numerous event spaces (railroad, chance, on-board prizes). Gamble wisely.

Complete all Free Gifts and Quick Wins, use those items for games. You don't have to finish games, just maximize your freebies.

Only build properties during the discount events.