I own two:

Pump: Mossberg 835 perfect turkey gun

Semi: Remington 11-87 Super Magnum with the ShureShot stock, excellent and hold the pattern as well as the Mossberg 835

If money isn't an issue look into the Winchester SX3 Turkey, I loved it but the price was out of my range

With that said, I would look into

Pumps: Mossberg 835, or Remington 870 Super Magnum

Semi: The Winchester I mentioned above, same Remington I have or Versa Max, Browning (same as the Winchester SX3),