I'm interested to hear what you come up with for a rifled choke tube -- specifically to work with whatever you have as bore dimensions in that gun.
Have you graphed the bores of that mysterious side by side yet?
Proper paradox guns are special critters. I'll be interested to see what you come up with and if you can get it to put both barrels in the same tidy little group.
Have you tried simply running factory rifled slugs through it? Some smooth bore slug guns do quite well without the rifling. If that gun was indeed set up with shooting slugs in mind, it's possible it will do well with the off the shelf loads.
If that is the case, rifled choke tubes might not be the thing to do to that gun.
I am also interested to see what the rear sight looks like on that gun.
I've seen that photo you have there of the blocky front sight. What's the rear like?
--Tinker