Comfortable Accommodations Mt Cook Motel Cooktown in Cooktown offers family rooms with air-conditioning, private bathrooms, and free WiFi. Each room includes a work desk, TV, and wardrobe. Outdoor Spaces Guests can relax in the garden or on the terrace. Free on-site private parking is available. Local Attractions Finch Bay Beach is 1.2 mi away, and Cooktown Airport is 6.8 mi from the hotel.