It's all about the amount of restriction. In my 12 gauge Browning's (Invector and Invector Plus) I have used the Pure Gold .670 extended tube and 3" 2 oz Hevi-Shot Magnum Blends - it has been a good combination for me out to 55 yards. With #4 lead I wouldn't go much below .670 in a 12 gauge. The tightest choke restrictions are for card shooters at turkey shoots shooting #8 & #9 shot. I see that the Hastings CT-II in Extra Full is .682, which is more open than their most open "Turkey Tube" at .675, so you should get a tighter pattern than with their Full tube and your load. Only way to know for sure is to pattern the load.
http://www.hastingsdistribution.com/index.php?l=product_list&c=26
