Natural Bridge Falls is the standout day trip from Big Timber. The Boulder River cuts through limestone south of town, dropping through a gorge where water, rock, and broken natural-bridge formations make a compact but impressive stop.
The picnic area is day-use only and easy to visit by car in good weather. Walk the viewpoints, take your time along the river, and do not treat it as just a photo pull-off. The drive up the Boulder River is part of why the trip works.