What would be the ideal itinerary for a 3-day or 5-day trip to Akita, Japan, that allows travelers to experience the region's top attractions, natural beauty, cultural heritage, and local cuisine? Could you provide detailed suggestions for how to spend each day, including recommendations for the best places to visit, activities to do, and tips for efficient travel between destinations? Additionally, how can travelers balance exploring Akita's urban areas, rural landscapes, and unique cultural sites within these timeframes?