Both of those guns use the same thread type, Win-Choke, Invector and AccuChoke are all the same.
There are a number of brands of chokes made with those thread patterns and several that will do well with those guns.
Are you shooting Federal shells with the Flitecontrol Wad?
I can't help you with those Fiocchi shells. I've shot any with that particular load.
Thanks,
Clark