too many variables, so little time....RF can come in through your console preamps. What kind is it? Older Mackie SR series require a resistor modification, which was added to the new SR series. Many cheap chineese consoles have issues (Phonic, Avlex, Yamaha, EV, etc) There are mnay other places in the console that it could happen.
RF can come in through AC cables, speaker cables, balanced lines with breaks in the shield. If the cable equates to a minimum of 1/4 of the wave of the radio station's frequency, it will act as a receiver antenna.
Do you have any guitar amps in use? Like old Fenders, etc, etc? Is anyone playing a Telecaster, etc, etc? It could be coming through the pick ups or an unshielded amp circuit.
The thing to so is this.
1. Check out your AC wiring. Get one of those cheap testers that will tell you if all conductors are connected and in the correct phase, etc. Check the grounding. Sometimes people try to ground to pipes that terminate to PVC, getting no grounding at all, and RF can come in through the ground. Once you have determined the AC isn't dirty, plug in only the active speakers to the AC, but do not connect audio cables. If the RF persists, call a tech and get a mod on your Mackies.
2. If it is OK, the connect only the send cables to those speakers. Do not connect the other end to the console. Check it again. The connect it to the console.
3. If the system is buzy now, move one of the monitors to the console and plug it in directly with as short of a cable as possible. This will rule out the 1/4 wave theory. If it still freaks out, go on.
4. Start soloing the console until you get isolate the channel.
5. If it is through the whole console, get another console and try it. If it does it there as well, move the console to the stage and connect it directly to monitors there. This will eliminate the possability that the location of the console in the church is the culprit, etc.
Got a busy day, e-mail me later for the results.