Downtown Nantou (mostly the shopping district) is small enough to get around on foot.
The easiest alternative mode of transportation would probably be by taxi. Near the bus station and Carrefour there are always taxis standing by, but since these usually don't use meters, be careful and negotiate a good deal first.
Fala Steak House (法拉象牛排館), a classy western style steak house that has very fair prices and excellent quality food. There are four rounds to a typical meal, starting with salad, soup, the main course, and a dessert. Drinks are refillable and include sodas and tea, and there are snacks available for taking.
Elephant Steak House (大象牛排館), a large steak house opened by the owner of Fala Steak House. Elephant Steak House is much larger and the prices even lower, making it very popular (it gets crowded sometimes) with people in Nantou. There is a buffet area with all-you-can-eat noodles, salad, fruits, etc.
Duofu Dohua (多福豆花), a sweets shop on Janguo Road which is just behind the County Gym Field. It's a franchised branch of a chain, but they make most of their products by themselves. Their Dohua(sweet soft beancurd)is made with much care and is very nice. They also provide many kinds of other desserts, kinds of shaved ice and drinks which are all cheap and worth the money you pay.