I shot a Rem 1100 & 870 with a standard full choke for years; in both guns, the full choke out performed the Modified choke and just forget the Improved Cylinder for anything other than EXTREME close range shooting with #4 buck and BB's.
In 2001, I started using a Hasings Turkey choke in my 1187, it patterns 100% in a 20" circle at 40 yards, and with 000 buck, 100% pattern in a 15" Circle.
Just be sure and match your choke with your actual hunting situation, and pattern your choke with more than one shot. Often, you will get one bad pattern and one good one...
Good luck!