You typically won't get what feels like a shock with RF current because the current flows on the surface of your body and not through the nervous system. In this case the "skin effect" can be taken literally.
You can get an RF burn if there's enough current concentrated in a small area. These effects can be observed with a Tesla coil. If you grab a larger piece of metal such as a wrench you can draw RF sparks without getting a burn because the wrench spreads the RF current over a larger area of your skin. Obviously if there's enough RF current you will get a burn in any case.
Are the antenna towers several hundred feet tall, such as with AM radio stations? Amplitude modulation is readily detected by nonlinear circuit elements in amplifiers, etc. so that you can end up hearing it. Frequency modulation is more difficult to detect.