Only a one hour drive from Big Sky.
Ousel Falls (EASY) - 1.6 miles, 44 minutes https://outsidebozeman.com/trails-tours/hiking-trails/ousel-falls-park-trail Beehive Basin (HARD)- 6.9 miles, 3.5 hours https://www.alltrails.com/trail/us/montana/beehive-basin-trail-no-40 Plus many more!
Amazing BBQ on the Gallatin River just outside of town