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The best time to experience the hipster-friendly city of Tucson on a budget is during the summer. According to U.S. News & World Report, hotel rates drop significantly — about 60 percent — during the summer months. There are plenty of inexpensive museums, activities and attractions to choose from. Explore plants and animals at the Arizona-Sonora Desert Museum, take a guided tour in Saguaro National Park; and go horseback riding at White Stallion Ranch.