You are going to get allot of feedback on this subject. I use a modified choke from the 16 to the 27 yard lines. Have been for a long time. While everyone else is chipping the targets, mine explode into minute pieces.
I have shot with as little as .012" choke at 16 yards and the most .044". I honestly don't think I lost or gained a target at any time. Use what you have confidence in. Tight chokes and well centered hits seldom fail. Turning targets into smoke balls will give you more confidence than breaking them into several pieces.
I use a modified when I shoot in league. Both at 16 and my handicap of 20. Just started shooting doubles, I use Lt Mod and Imp Mod for them since the Mod choke is in my single barrel. Sometimes I use up to a full choke when practicing just to gain some confidence. I've seen guys busting clays with a Cyl Bore on a Tac Shotgun from the 16 yd line. I belive the central core of the shot pattern stays together but the outer portion of the pattern is what either holds together or scatters appart sooner based on choke. I'm fairly knew at trap so only base my guess on what I've read. I haven't noticed much difference in how many I hit no matter what choke I have in the gun.
I would think you would want to pattern the chokes that you are thinking of using and also take a look at the distance out of the trap house that you are consistently breaking targets.I have shot a lot of different trap shotguns and ran hundreds with most of them using various chokes but when I look into my records that I keep on each gun and registered year my best scores/ave. were always shot with a lite full choke.Keep records of what you are doing and look for consistency. SHoot well George