My Winchester 23 was made in 1986 and has Winchokes / original Invector chokes, not Invector Plus. So the Briley route might have to involve Thinwalls. FYI Mike Orlen is also known for this kind of choke gunsmithing and has done good work for me.

Opening the chokes might be an option if you want to shoot steel. IC/LT Mod is a good combo for sporting clays and what Is in my SC gun right now.

Do you reload? If so you could open your choke with softer shot (Eagle) or use spreader wads. Or you could look for the cheapest nastiest promo shells you can find as they probably have the softest lead.