Cummins Falls State Park Tennessee Directions From I-40, take exit 280 to TN-56 North toward Gainesboro for 7.7 miles. Turn right on TN-290, go 0.9 miles. Turn left onto Cummins Mill Road for 2.9 miles. Turn left onto Blackburn Fork Road for 0.2 miles. Hours of Operation The Park is a day-use park and is open from 8:00 a.m. CT until sunset, year-round.