Phil Barone pieces are the way to go. I also tried the Ponzol hard rubber, and it was almost as good. For tenor I don't think Barone makes the NY piece, they make the Vintage piece, which I've hear is just as good. The Otto Links are reasonably priced and are great for the money. They have a good dark edgy sound. I would strongly advise against getting an s-80 for jazz, or even for classical on tenor. The Morgans weren't as good as I had heard. They sound to "commercial", I didn't feel that my sound came out, it sounded like the mouthpiece. It reminded me of playing a Series III.

Your horn has a nice low end. You don't want to get too muddy on those low notes. You want to have a little slap to them. The 80 mouthpiece is hideous, and Meyer is an alto mouthpiece. I have different mindsets for alto and soprano. The tenor is husky down low, With the MK VII , the Otto Link New York 7 sounds nice. I have put my Link on a VII and i liked it all through the range. A used mouthpiece would save you money.