Swampcollie has an excellent point..If the bird is close enough, loads and dense choke tubes are not so critical...
Personally, I prefer to shoot my birds on the near side of 40 yards, so I have not spent a lot of time trying to work up a super long range combo of load and choke tube...I want a pattern that will give enough pellet coverage to kill a bird EVERY TIME at 40 yards or perhaps a few steps further if my range estimation is off... I'd prefer not to have a super small pattern that is hard to hit with if a bird gets close enough so that I can smell grasshoppers on his breath before I get the chance to kill him..

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FWIW, I shoot a Rem 11-87 in 3" mag with a Kick's Gobblin' Thunder .665 tube... I prefer 2 oz. loads of buffered, copper plated shot, either Federal Premium or Win XX magnums... This combo patterns well enough with either 4 ,5 or 6 shot to cleanly kill turkeys out to around 45 yards...