It's really hard to recommend just one for all three quite different and distinct clay sports. They require different characteristics indeed, as you correctly mentioned.
Trap will need a specially raised rib, sporting clays a fast shouldering and quick handling gun, skeet a smooth swinging one that will be quick on doubles.
For clay sports in general a double barrel, specifically an over and under is best. They are reliable, shoot doubles and normally swing nicely. But for that matter, any gun will do. I've seen people use semi-autos just as fine as pumps.
The bottom line is what gun will fit you.
THE BEST ADVICE is to go to the club, watch people shoot a lot and note what they are shooting. Then approach your club manager or a coach and ask about the gun fit. Normally they will be in the position to advise you or to direct you properly. The gun fit is more important than anything else.
Trap will need a specially raised rib, sporting clays a fast shouldering and quick handling gun, skeet a smooth swinging one that will be quick on doubles.
For clay sports in general a double barrel, specifically an over and under is best. They are reliable, shoot doubles and normally swing nicely. But for that matter, any gun will do. I've seen people use semi-autos just as fine as pumps.
The bottom line is what gun will fit you.
THE BEST ADVICE is to go to the club, watch people shoot a lot and note what they are shooting. Then approach your club manager or a coach and ask about the gun fit. Normally they will be in the position to advise you or to direct you properly. The gun fit is more important than anything else.