Here is my opinion shaped on 15 years of turkey hunting all over North America, of which five years are as a professional.
I hope my sponsors do not read this.

In all these years I have never found that I needed a super tight turkey choke. I never needed a 3 1/3” magnum gun loaded with super magnum turkey loads.
It’s simple really. All you need is to get up to five pellets into the kill zone (brain and neck vertebrae) of a turkey. Most shots at turkeys are taken at about 25 to 30 yards. I have guided turkey hunters and some attempted to take 40 or even 50 yards shots, because that’s what they read in articles or advertising is possible with a super-turkey-everything-outfit.
This is strictly my opinion. If a hunter "needs" to shoot 40 or 50 yards then he did something seriously wrong with the way he has set up the abush.
I shot for years factory loads, Federal Wing-Shock 3” loaded with copper plated lead pellets #5, pushed though a full factory choke out of a Mossberg (soon to be replaced with a Benelli) 535 ATS 12 gauge gun with a 26” barrel. Do I think this is the best turkey gun and load? No, not by a mile, but it works just fine and has never let me down.
For turkey hunting barrel length has no influence other then that a shorter barreled gun is easier to carry (maneuver) around in the woods and brush.
Any lead load betwen #4 to #6, preferably copper or tungsten coated, packed into 3” shells will do just fine. The coating helps to prevent deformation of the pellets when they are pushed though a tight choke.
My advice to you would be to buy as many loads of different brands from 3” to 3 ½ “ (provided your gun is chambered for 3 ½) with pellet sizes ranging between #4 to #6 as you can afford. Get yourself a few turkey targets and head to range, try all the loads with, different choke combinations, out and the one choke / load combination that creates a pattern which consistently puts several pellets in the kill zone that's the one you want to use. Bingo.
Don’t worry too much about ammunition brands and expensive custom chokes or special turkey loads. Sure, they're fun to have and to shoot but they're not needed in most cases.
Well that turned out to be a much longer answer then I had originally in mind.