A base station antenna (BSA) includes a reflector having a main reflector surface thereon, which extends between first and second sidewalls thereof. First and second choke-within-a-choke assemblies are provided on first and second sides of the reflector, respectively. The first choke-within-a-choke assembly includes: a first relatively low-band choke defined on one side thereof by the first sidewall of the reflector, and a first relatively high-band choke contacting on two sides thereof a rear surface of the reflector and an inner surface of the first sidewall. The second choke-within-a-choke assembly includes: a second relatively low-band choke defined on one side thereof by the second sidewall of the reflector, and a second relatively high-band choke contacting on two sides thereof the rear surface of the reflector and an inner surface of the second sidewall.