I've used an SP-10 for maybe 10-12 years for turkeys. #5 Hevi-Shot and a Tru-Lock choke. Tried to pattern it at 40 yards. Blew the center out of the target. Little tough to count pellet holes that way.
I've had witnessed DRT kills at 67, 61, and several at 50+ yards. Shells are expensive, but it should only take one.
The Tru-Lock is expensive and worth every nickle. Throws absolutely true patterns that are extremely tight. Machined from a solid block of steel. If you order one, they will ask specifically which shells you intend to use as it makes a difference in how it's finished. Those guys know their business.
The gun's heavy, but I'm only 5'7", and 62 YO. I carry it all day. Still isn't fun. Turkey hunting you should be sitting a lot more than walking. A pump 3 1/2" 12 gauge kicks WAY, WAY more than the SP. Recoil is no worse than a moderate weight 20 gauge with heavy field loads.