rynokron,
I would say that with the #4 BUCK load, you are good to 35 yards or so. What brand and model is your shotgun? We should learn what the nominal bore diameter is. For tightest center dense patterns, a .040-.050 of constriction will usually be best. I find it interesting that Hevi-shot fodder strikes low and right with your gun. Mine shoots the stuff high and left. I am hoping that I can zero my speed bead in such a way that I can get away with shooting either Hevi-shot or lead. If I can't do that, I guess that I will re-set the speed bead every time I switch loads.
It's a Benelli Nova. Not real farmiliar with shotguns so I don't know the bore diameter. Just getting into the shotgun thing, missed several fast in/ fast out coyotes with the rifle. Most of the spots I hunt a shotgun is a better choice. The Hevi Shot had a better pattern, but POA was off enough I would need a red dot sight to use it. Not out of the question, but would like to try some other choke tubes first. Looking for suggestions on what to try next...
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Nominal bore diameter of your Nova .729, which means that an extended choke tube of .680-.690 should do the trick. I adjusted by speed bead to center the Hevi-shot T,s today. Here are a couple of photos.