Snook is a city in Burleson County, Texas, United States. The population was 506 at the 2020 census. Snook is 13 miles southwest of College …Snook is a city in Burleson County, Texas, United States. The population was 506 at the 2020 census. Snook is 13 miles southwest of College Station and 17 miles southeast of Caldwell, the Burleson County seat.