John,
Do you or any of your buddies bow hunt? One of my buddies is an excellent shot, and he used to bow hunt big carp.
Once they clean out your pond, there should be certain times of the year when the big carp will sit mostly motionless in the shallow water with their dorsal fin sticking out into the air. They are an easy shot then and you should be able to clear some of the big ones in that manner.
We have also caught tons on doughballs with rod and reel. However, other times we can't get them to bite. I am not a good enough fisherman to know why they were biting like crazy some days, and then not at all on other days?