Try the HeviShot Magnum Blend shells.....you get several shot sizes in one shell. They are extremely effective and hold amazing patterns.
Good Luck

I have a Rem 11-87 and have used it the past 20 yrs. I have a similar set-up as I use a Hasting Choke 0.665 and I use 3 inch Winchester Supreme #4 Copper Plated. I see no reaso to change to any other type shot as this has performed for me flawlessly - is far cheaper than Hevi shot and the other brands.
My set-up also includes a Nikon Monarch turkey Pro Scope and this gun is a 55 yarder if needed.
But I am proud to say with all the birds I have taken - my average is still 21 yards........some far closer and a few beyond that but I try to get them in close - so close so I can see the fuzz on their head.

JW

I never believed in a scope for turkeys until I tried the Nikon Monarch Turkey Pro. It is absolutely amazing and I absolutely killed with it this year. It makes it real difficult to miss.

the only way to see what works is to put alot of time in at the range. I went probably 10 times the month before spring turkey season trying all different combinations of chokes and ammo.
on my Remington 870 20 gauge I stuck w/ a Primo's Jellyhead choke and 3'' Winchester double X turkey loads. I also like Hevi-Shot Magnum shells. They both shoot really tight patterns out to about 40-43 yards; which is way beyond what I even feel comfortably taking a bird.

I am suggesting that you work. I like probably many other avid turkey hunters with the shot shell rather than change the choke tube in the same camp as those. Anice gobbler several years back that turned out to be about 60 yards the patterns start falling apart badly.

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Super Vinci with HeviShot Magnum Blend Shells AWESOME

get an 870