Supers are choked very tightly and the 12 gauge Full I have measured are about 39 thousands constriction so with the ammunition of today give very tight patterns.
How is your Wingmaster choked or does it have screw chokes?
The Beretta UL has screw chokes and you could go to SKEET USA and SKEET USA.
You do not need 3" chambers and do not want 3" chambers. -Dick