Target 4522 Fredericksburg Rd Balcones Heights, TX 78201 Phone : () - Supertarget 4522 Fredricksburg Rd Balcones Heights, TX 78201 Phone : (210) 280-0000 Nearest cities for Balcones Heights, TX Alamo Heights, TX(5.6)   Castle Hills, TX(3.1)   Leon Valley, TX(4.5)   Olmos Park, TX(4.2)   San Antonio, TX(3.6)   San Antonio, TX(3.6)   Shavano Park, TX(6.7)   Terrell Hills, TX(7.0)