I've e-mailed you with some information and a couple of questions that may allow me to be of more help to you.
I patterned a number of shells this morning. I used the 24" ported barrel and the least expensive lead shotshells I had for my first tests. All shots were from a rest at 40 yards. Circles are 10" diameter.
I always like to pattern the least expensive shells first and if patterns are acceptable, there's really no need to go futher. I also picked the 24" ported barrel because it normally does not pattern as well as the longer ones. I shot 3" Federal shells, 2 oz. of #6 lead shot with the Flitecontrol Wad. Those shells are about $10.00 per box here.
There are some POA/POI issues due to 20+ mph wind gusts but patterns are pretty dense. I measured the center mass and do not see how any turkey could escape. I've posted a pretty typical pattern. The central circle shows 112 hits and the intersecting center circle has 114 hits. Left and right intersecting circles have 97 and 101 hits respectively.
That's a lot of center mass hits and would certainly produce a dead turkey with these shells/choke/gun. You can see the effect of the wind gusts on the POI, the 2" orange dot.
I also shot WXRHD, Federal Heavyweight, Hevi-13 and Remington Wingmaster HD all in 3" with #6 shot. I had higher pellet counts but do not feel that the patterns justify the added cost of those shells with this combination, $10.00 per box vs. up to $40.00+ per box. Dead is dead.
When the winds die down here, I'll try some 3.5" shells to see if I get any dramatic improvement in patterns.