Officials warn against complacency during hurricane season, which runs from June 1 through Nov. 30, and peaks between mid-August to mid-October. Tropical Storm Alberto dropped 24.43 inches of rain in Albany, Ga., during a 24-hour period, July 11, 1994. - Officials warn against complacency during hurricane season, which runs from June 1 through Nov. 30, and peaks between mid-August to mid-October. Tropical Storm Alberto dropped 24.43 inches of rain in Albany, Ga., during a 24-hour period, July 11, 1994.